Installing LibreOffice problem

There are two different issues shown in the output.

1. N: Ignoring file '20auto-upgrades.ucf-dist' is just a minor remark and does not hinder the package management system.
You can cure it with the command
sudo rm /etc/apt/apt.conf.d/20auto-upgrades.ucf-dist

2. The real problem is
libreoffice: Depends: libreoffice-core (= 1:5.1.6~rc2-0ubuntu1~xenial2) but 1:5.3.4-0ubuntu0.16.04.1~lo0.1 is to be installed

Your are using different versions of the libreoffice programs from two different PPAs (or from the standard repository and a PPA), and these versions are conflicting with each other.
You have to decide on one source for the libreoffice packages.

The command
apt-cache policy libreoffice libreoffice-base libreoffice-core
maybe shows some additional information about the different PPAs.

Following your suggestion.

luis@luis-Ubuntu-16:~$ apt-cache policy libreoffice libreoffice-base libreoffice-core
libreoffice:
  Installed: (none)
  Candidate: 1:5.1.6~rc2-0ubuntu1~xenial2
  Version table:
     1:5.1.6~rc2-0ubuntu1~xenial2 500
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial-updates/universe i386 Packages
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial-security/universe i386 Packages
     1:5.1.2-0ubuntu1 500
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial/universe i386 Packages
libreoffice-base:
  Installed: (none)
  Candidate: 1:5.1.6~rc2-0ubuntu1~xenial2
  Version table:
     1:5.1.6~rc2-0ubuntu1~xenial2 500
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial-updates/main i386 Packages
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial-security/main i386 Packages
     1:5.1.2-0ubuntu1 500
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial/main i386 Packages
libreoffice-core:
  Installed: 1:5.3.4-0ubuntu0.16.04.1~lo0.1
  Candidate: 1:5.3.4-0ubuntu0.16.04.1~lo0.1
  Version table:
 *** 1:5.3.4-0ubuntu0.16.04.1~lo0.1 100
        100 /var/lib/dpkg/status
     1:5.1.6~rc2-0ubuntu1~xenial2 500
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial-updates/main i386 Packages
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial-security/main i386 Packages
     1:5.1.2-0ubuntu1 500
        500 http://ubuntu.mirror.neology.co.za/ubuntu xenial/main i386 Packages
N: Ignoring file '20auto-upgrades.ucf-dist' in directory '/etc/apt/apt.conf.d/' as it has an invalid filename extension
luis@luis-Ubuntu-16:~$

I need some help on this one, don’t understand what I should do now
Let me explain all this:
LO base start crashing after Saving a Database I was advised to uninstall completely LO and install
Libreoffice ver 5-3 with command sudo add-apt-repository ppa:libreoffice/libreoffice-5-3
dint fixed the problem.
Can you please help me nee LO Base working
Thank you

It seems that you have already removed ppa:libreoffice/libreoffice-5-3 from your list of repositories.
Now you have to do a similar action as before: "uninstall completely LO"
You have to uninstall ALL libreoffice-related packages.

What is the output of the command

dpkg -l | grep 16.04.1~lo0.1

luis@luis-Ubuntu-16:~$ dpkg -l | grep 16.04.1~lo0.1
ii fonts-opensymbol 2:102.10+LibO5.3.4-0ubuntu0.16.04.1~lo0.1 all OpenSymbol TrueType font
ii libreoffice-base-core 1:5.3.4-0ubuntu0.16.04.1~lo0.1 i386 office productivity suite -- shared library
ii libreoffice-calc 1:5.3.4-0ubuntu0.16.04.1~lo0.1 i386 office productivity suite -- spreadsheet
ii libreoffice-common 1:5.3.4-0ubuntu0.16.04.1~lo0.1 all office productivity suite -- arch-independent files
ii libreoffice-core 1:5.3.4-0ubuntu0.16.04.1~lo0.1 i386 office productivity suite -- arch-dependent files
ii libreoffice-math 1:5.3.4-0ubuntu0.16.04.1~lo0.1 i386 office productivity suite -- equation editor
ii libreoffice-style-elementary 1:5.3.4-0ubuntu0.16.04.1~lo0.1 all office productivity suite -- Elementary symbol style
ii libreoffice-style-galaxy 1:5.3.4-0ubuntu0.16.04.1~lo0.1 all office productivity suite -- Galaxy (Default) symbol style
ii libreoffice-writer 1:5.3.4-0ubuntu0.16.04.1~lo0.1 i386 office productivity suite -- word processor
ii python3-uno 1:5.3.4-0ubuntu0.16.04.1~lo0.1 i386 Python-UNO bridge
ii uno-libs3 5.3.4-0ubuntu0.16.04.1~lo0.1 i386 LibreOffice UNO runtime environment -- public shared libraries
ii ure 5.3.4-0ubuntu0.16.04.1~lo0.1 i386 LibreOffice UNO runtime environment
luis@luis-Ubuntu-16:~$
Not sure this output should be done before or after uninstall LO, for now I send it before.
Your suggestion from where and how to reinstall LO for Ubuntu 16.04 and one that Base works
properly.
Thank you very much for your help the other forums couldn’t help.

Your last output lists all packages that have been in stalled from the ppa:libreoffice/libreoffice-5-3 PPA. If you want to install libreoffice in a different version or from a different source, you have to uninstall all these.

I do not know what the root cause of your problem with libreoffice-base is. So I do not know which version you have to install to get a working solution. Maybe you can use the libreoffice support pages https://www.libreoffice.org/get-help/community-support/ to get recommendations what to do.

I contact ibreoffice support you mention on 19 July 2017 they answer me with "resetting the User Profile" witch I did tried Base again was still the same I reply the results but made a error I edit the reply and still waiting for answers.

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