Programs not loading ...

how do you mean they don't load?
you didn't get an icon to run? it doesn't appear on the menu?

Check on a apps->tools->terminal

$ sudo apt-get instlal fldigi

if it installs or was already installed.

then check

$ dpkg -L fldigi

a list of files that are in the fldigi package.
The one executable and useful for you will be the one that ends in
/usr/bin/<here>
I guess.

The icon appears under the applications heading of Ham Radio... I click on the icon but nothing happens... Doesn't load the program. Thjis is what mhappens when I use the terminal:
werner@werner-OptiPlex-SX280:~$ sudo apt-get instlal fldigi
E: Invalid operation instlal

werner@werner-OptiPlex-SX280:~$ sudo apt-get install fldigi
[sudo] password for werner:
E: Could not get lock /var/lib/dpkg/lock - open (11: Resource temporarily unavailable)
E: Unable to lock the administration directory (/var/lib/dpkg/), is another process using it?

The icon appears under the applications heading of Ham Radio... I click on the icon but nothing happens... Doesn't load the program. Thjis is what mhappens when I use the terminal:
werner@werner-OptiPlex-SX280:~$ sudo apt-get instlal fldigi
E: Invalid operation instlal

werner@werner-OptiPlex-SX280:~$ sudo apt-get install fldigi
[sudo] password for werner:
E: Could not get lock /var/lib/dpkg/lock - open (11: Resource temporarily unavailable)
E: Unable to lock the administration directory (/var/lib/dpkg/), is another process using it?

> werner totino is still having a problem:
> The icon appears under the applications heading of Ham Radio... I click on the icon but nothing happens... Doesn't load the program. Thjis is what mhappens when I use the terminal:
> werner@werner-OptiPlex-SX280:~$ sudo apt-get instlal fldigi
> E: Invalid operation instlal
>
> werner@werner-OptiPlex-SX280:~$ sudo apt-get install fldigi
> [sudo] password for werner:
> E: Could not get lock /var/lib/dpkg/lock - open (11: Resource temporarily unavailable)
> E: Unable to lock the administration directory (/var/lib/dpkg/), is another process using it?
>

As I mentioned before already: CLOSE all applications that have
something to do with installing program, i.e. close synaptics, close
Ubuntu Software center, etc.
then, it looks like this at my computer:

tobias@merkur:~$ sudo apt-get install fldigi
Paketlisten werden gelesen... Fertig
Abhängigkeitsbaum wird aufgebaut
Statusinformationen werden eingelesen... Fertig
Die folgenden zusätzlichen Pakete werden installiert:
   extra-xdg-menus libhamlib2 librpc-xml-perl libxmlrpc-c3 libxmlrpc-core-c3
Vorgeschlagene Pakete:
   libterm-readline-gnu-perl libterm-readline-perl-perl libapache2-mod-perl2
Die folgenden NEUEN Pakete werden installiert:
   extra-xdg-menus fldigi libhamlib2 librpc-xml-perl libxmlrpc-c3
   libxmlrpc-core-c3
0 aktualisiert, 6 neu installiert, 0 zu entfernen und 0 nicht aktualisiert.
Es müssen 2.064kB an Archiven heruntergeladen werden.
Nach dieser Operation werden 7.258kB Plattenplatz zusätzlich benutzt

Here is what I got after following your directions...
werner@werner-OptiPlex-SX280:~$ sudo apt-get install fldigi
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following packages were automatically installed and are no longer required:
  libmpich1.0gf kdelibs4c2a xchat-common fftw2 libgfortran3 xchat kdelibs-data
  libax25 linux-headers-2.6.35-22 liblualib50 libxbae4 libsexy2
  linux-headers-2.6.35-22-generic python-numpy libavahi-qt3-1 lesstif2
  libblas3gf liblapack3gf libf2c2 libqt3-mt liblua50
Use 'apt-get autoremove' to remove them.
The following extra packages will be installed:
  extra-xdg-menus libfltk1.1 libxmlrpc-c3 libxmlrpc-core-c3
The following NEW packages will be installed:
  extra-xdg-menus fldigi libfltk1.1 libxmlrpc-c3 libxmlrpc-core-c3
0 upgraded, 5 newly installed, 0 to remove and 0 not upgraded.
Need to get 697kB/1,863kB of archives.
After this operation, 5,034kB of additional disk space will be used.
Do you want to continue [Y/n]? y
Get:1 http://mirror.cc.columbia.edu/pub/linux/ubuntu/archive/ maverick/universe extra-xdg-menus all 1.0-4 [12.8kB]
Get:2 http://mirror.cc.columbia.edu/pub/linux/ubuntu/archive/ maverick/main libfltk1.1 i386 1.1.10-2 [463kB]
Get:3 http://mirror.cc.columbia.edu/pub/linux/ubuntu/archive/ maverick/main libxmlrpc-core-c3 i386 1.06.27-1ubuntu7 [89.6kB]
Get:4 http://mirror.cc.columbia.edu/pub/linux/ubuntu/archive/ maverick/main libxmlrpc-c3 i386 1.06.27-1ubuntu7 [131kB]
Fetched 697kB in 0s (1,705kB/s)
Selecting previously deselected package extra-xdg-menus.
(Reading database ... 241788 files and directories currently installed.)
Unpacking extra-xdg-menus (from .../extra-xdg-menus_1.0-4_all.deb) ...
Selecting previously deselected package libfltk1.1.
Unpacking libfltk1.1 (from .../libfltk1.1_1.1.10-2_i386.deb) ...
Selecting previously deselected package libxmlrpc-core-c3.
Unpacking libxmlrpc-core-c3 (from .../libxmlrpc-core-c3_1.06.27-1ubuntu7_i386.deb) ...
Selecting previously deselected package libxmlrpc-c3.
Unpacking libxmlrpc-c3 (from .../libxmlrpc-c3_1.06.27-1ubuntu7_i386.deb) ...
Selecting previously deselected package fldigi.
Unpacking fldigi (from .../fldigi_3.20.23-1_i386.deb) ...
Processing triggers for hicolor-icon-theme ...
Processing triggers for man-db ...
Processing triggers for desktop-file-utils ...
Processing triggers for python-gmenu ...
Rebuilding /usr/share/applications/desktop.en_US.utf8.cache...
Processing triggers for menu ...
Processing triggers for python-support ...
Setting up extra-xdg-menus (1.0-4) ...
Setting up libfltk1.1 (1.1.10-2) ...
Setting up libxmlrpc-core-c3 (1.06.27-1ubuntu7) ...
Setting up libxmlrpc-c3 (1.06.27-1ubuntu7) ...
Setting up fldigi (3.20.23-1) ...
Processing triggers for libc-bin ...
ldconfig deferred processing now taking place
Processing triggers for menu ...
werner@werner-OptiPlex-SX280:~$

Then I did the second part of your direction.......
werner@werner-OptiPlex-SX280:~$ dpkg -L fldigi
/.
/usr
/usr/share
/usr/share/locale
/usr/share/locale/fr
/usr/share/locale/fr/LC_MESSAGES
/usr/share/locale/fr/LC_MESSAGES/fldigi.mo
/usr/share/man
/usr/share/man/man1
/usr/share/man/man1/flarq.1.gz
/usr/share/man/man1/fldigi.1.gz
/usr/share/man/man1/fldigi-shell.1.gz
/usr/share/pixmaps
/usr/share/pixmaps/fldigi.xpm
/usr/share/pixmaps/flarq.xpm
/usr/share/pixmaps/flarq-small.xpm
/usr/share/pixmaps/fldigi-small.xpm
/usr/share/applications
/usr/share/applications/fldigi.desktop
/usr/share/applications/flarq.desktop
/usr/share/doc
/usr/share/doc/fldigi
/usr/share/doc/fldigi/README
/usr/share/doc/fldigi/copyright
/usr/share/doc/fldigi/changelog.Debian.gz
/usr/share/menu
/usr/share/menu/fldigi
/usr/bin
/usr/bin/fldigi
/usr/bin/flarq
/usr/bin/fldigi-shell
werner@werner-OptiPlex-SX280:~$

Still does not load the program when the icon is clicked....

> /usr/bin/fldigi
> /usr/bin/flarq
> /usr/bin/fldigi-shell
> werner@werner-OptiPlex-SX280:~$
>
> Still does not load the program when the icon is clicked....
>

can you show the output of what happens when you call the program from
the terminal, i.e.

$ fldigi

werner@werner-OptiPlex-SX280:~$ fldigi
fldigi: malloc.c:3096: sYSMALLOc: Assertion `(old_top == (((mbinptr) (((char *) &((av)->bins[((1) - 1) * 2])) - __builtin_offsetof (struct malloc_chunk, fd)))) && old_size == 0) || ((unsigned long) (old_size) >= (unsigned long)((((__builtin_offsetof (struct malloc_chunk, fd_nextsize))+((2 * (sizeof(size_t))) - 1)) & ~((2 * (sizeof(size_t))) - 1))) && ((old_top)->size & 0x1) && ((unsigned long)old_end & pagemask) == 0)' failed.

Caught signal 6
Aborting fldigi due to a fatal error.
Please report this to: <email address hidden>
or file a bug report at: https://fedorahosted.org/fldigi/newticket

****** Stack trace:
fldigi[0x8137a6c]
[0xc78400]
[0xc78416]
/lib/libc.so.6(gsignal+0x51)[0x1019941]
/lib/libc.so.6(abort+0x182)[0x101ce42]
/lib/libc.so.6(+0x6c704)[0x105b704]
/lib/libc.so.6(+0x6f3fc)[0x105e3fc]
/lib/libc.so.6(__libc_malloc+0x63)[0x105ff33]
/usr/lib/libstdc++.so.6(_Znwj+0x29)[0x558619]
fldigi[0x819a1bc]
fldigi[0x80ba83f]
fldigi[0x80bd17d]
fldigi[0x80fc7a7]
/lib/libc.so.6(__libc_start_main+0xe7)[0x1005ce7]
fldigi[0x8056e61]

****** Version information:
fldigi 3.20.23
Copyright (C) 2007-2010 Dave Freese, Stelios Bounanos, Leigh Klotz, and others.
License GPLv3+: GNU GPL version 3 or later <http://www.gnu.org/licenses/gpl-3.0.html>
This is free software: you are free to change and redistribute it.
There is NO WARRANTY, to the extent permitted by law.

****** Build information:
Build information:
  built : Mon Aug 16 20:48:44 UTC 2010 by buildd@palmer on i686-pc-linux-gnu for i686-pc-linux-gnu

  configure flags: '--build=i686-linux-gnu' '--prefix=/usr' '--includedir=${prefix}/include' '--mandir=${prefix}/share/man' '--infodir=${prefix}/share/info' '--sysconfdir=/etc' '--localstatedir=/var' '--libexecdir=${prefix}/lib/fldigi' '--disable-maintainer-mode' '--disable-dependency-tracking' 'build_alias=i686-linux-gnu' 'CXXFLAGS=-g -O2' 'LDFLAGS=-Wl,-Bsymbolic-functions' 'CPPFLAGS=' 'CFLAGS=-g -O2'

  compiler : gcc version 4.4.5 20100813 (Linaro prerelease) [release 2010.08-0] (Ubuntu/Linaro 4.4.4-8ubuntu2)

  compiler flags : -I$(srcdir) -I$(srcdir)/include -I$(srcdir)/irrxml -I$(srcdir)/fileselector -pthread -I/usr/include/freetype2 -g -O2 -D_THREAD_SAFE -D_REENTRANT -D_REENTRANT -I/usr/include/libpng12 -I/usr/include -pipe -Wall -fexceptions -O2 -ffast-math -finline-functions -DNDEBUG

  linker flags : -lportaudio -lasound -lm -lpthread -Wl,-Bsymbolic-functions -lfltk_images -lfltk -lX11 -lsndfile -lsamplerate -lpulse-simple -lpulse -lhamlib -lm -lpng12 -L/usr/lib -lxmlrpc_server_abyss++ -lxmlrpc_server++ -lxmlrpc_server_abyss -lxmlrpc_server -lxmlrpc_abyss -lpthread -lxmlrpc++ -lxmlrpc -lxmlrpc_util -lxmlrpc_xmlparse -lxmlrpc_xmltok -ldl -lrt -lpthread

  libraries : FLTK 1.1.10
                   libsamplerate 0.1.7
                   libsndfile 1.0.21
                   PortAudio 19
                   PulseAudio 0.9.21-63-gd3efa-dirty
                   Hamlib 1.2.11
                   XMLRPC-C 1.06.27

Runtime information:
  system : Linux werner-OptiPlex-SX280 2.6.35-24-generic #42-Ubuntu SMP Thu Dec 2 01:41:57 UTC 2010 i686

  libraries : libsamplerate-0.1.7 (c) 2002-2008 Erik de Castro Lopo
                   libsndfile-1.0.21
                   PortAudio V19-devel (built Aug 3 2010 05:16:18) 1899
                   Pulseaudio 0.9.21-63-gd3efa-dirty
                   Hamlib 1.2.12

> werner@werner-OptiPlex-SX280:~$ fldigi
> fldigi: malloc.c:3096: sYSMALLOc: Assertion `(old_top == (((mbinptr) (((char *)&((av)->bins[((1) - 1) * 2])) - __builtin_offsetof (struct malloc_chunk, fd))))&& old_size == 0) || ((unsigned long) (old_size)>= (unsigned long)((((__builtin_offsetof (struct malloc_chunk, fd_nextsize))+((2 * (sizeof(size_t))) - 1))& ~((2 * (sizeof(size_t))) - 1)))&& ((old_top)->size& 0x1)&& ((unsigned long)old_end& pagemask) == 0)' failed.
>
> Caught signal 6
> Aborting fldigi due to a fatal error.
> Please report this to: <email address hidden>
> or file a bug report at: https://fedorahosted.org/fldigi/newticket

I am not good at debugging.
Might be a real bug. You should contact the
<email address hidden> with this issue.

Last guess: are you running an 64bit-installation ?
You can check:
$ uname -m
x86_64

mine (32bit) says:
$ uname -m
i686