Can't print to HP Officejet Pro 8600

I receive an error message stating: "Processing - The printer is not responding." when I try to print to my HP Officejet Pro 8600 printer. Can you help me get it to print?

Here is the output I received after running "hp-check -t":

hp-check -t
Saving output in log file: /home/dsmocke/hp-check.log

HP Linux Imaging and Printing System (ver. 3.16.3)
Dependency/Version Check Utility ver. 15.1

Copyright (c) 2001-15 HP Development Company, LP
This software comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome to distribute it
under certain conditions. See COPYING file for more details.

Note: hp-check can be run in three modes:
1. Compile-time check mode (-c or --compile): Use this mode before compiling the
HPLIP supplied tarball (.tar.gz or .run) to determine if the proper dependencies
are installed to successfully compile HPLIP.
2. Run-time check mode (-r or --run): Use this mode to determine if a distro
supplied package (.deb, .rpm, etc) or an already built HPLIP supplied tarball
has the proper dependencies installed to successfully run.
3. Both compile- and run-time check mode (-b or --both) (Default): This mode
will check both of the above cases (both compile- and run-time dependencies).

Check types:
a. EXTERNALDEP - External Dependencies
b. GENERALDEP - General Dependencies (required both at compile and run time)
c. COMPILEDEP - Compile time Dependencies
d. [All are run-time checks]
PYEXT SCANCONF QUEUES PERMISSION

Status Types:
    OK
    MISSING - Missing Dependency or Permission or Plug-in
    INCOMPAT - Incompatible dependency-version or Plugin-version

warning: linuxmint-18.3 version is not supported. Using linuxmint-17.3 versions dependencies to verify and install...

---------------
| SYSTEM INFO |
---------------

 Kernel: 4.13.0-32-generic #35~16.04.1-Ubuntu SMP Thu Jan 25 10:13:43 UTC 2018 GNU/Linux
 Host: dsmocke-Satellite-L655
 Proc: 4.13.0-32-generic #35~16.04.1-Ubuntu SMP Thu Jan 25 10:13:43 UTC 2018 GNU/Linux
 Distribution: linuxmint 18.3
 Bitness: 64 bit

-----------------------
| HPLIP CONFIGURATION |
-----------------------

HPLIP-Version: HPLIP 3.16.3
HPLIP-Home: /usr/share/hplip
warning: HPLIP-Installation: Auto installation is not supported for linuxmint distro 18.3 version

Current contents of '/etc/hp/hplip.conf' file:
# hplip.conf. Generated from hplip.conf.in by configure.

[hplip]
version=3.16.3

[dirs]
home=/usr/share/hplip
run=/var/run
ppd=/usr/share/ppd/hplip/HP
ppdbase=/usr/share/ppd/hplip
doc=/usr/share/doc/hplip
html=/usr/share/doc/hplip-doc
icon=no
cupsbackend=/usr/lib/cups/backend
cupsfilter=/usr/lib/cups/filter
drv=/usr/share/cups/drv
bin=/usr/bin
apparmor=/etc/apparmor.d
# Following values are determined at configure time and cannot be changed.
[configure]
network-build=yes
libusb01-build=no
pp-build=yes
gui-build=yes
scanner-build=yes
fax-build=yes
dbus-build=yes
cups11-build=no
doc-build=yes
shadow-build=no
hpijs-install=yes
foomatic-drv-install=yes
foomatic-ppd-install=yes
foomatic-rip-hplip-install=no
hpcups-install=yes
cups-drv-install=yes
cups-ppd-install=no
internal-tag=3.16.3
restricted-build=no
ui-toolkit=qt4
qt3=no
qt4=yes
policy-kit=yes
lite-build=no
udev_sysfs_rules=no
hpcups-only-build=no
hpijs-only-build=no
apparmor_build=no

Current contents of '/var/lib/hp/hplip.state' file:
Plugins are not installed. Could not access file: No such file or directory

Current contents of '~/.hplip/hplip.conf' file:
[installation]
date_time = 01/29/18 08:17:16
version = 3.16.3

 <Package-name> <Package-Desc> <Required/Optional> <Min-Version> <Installed-Version> <Status> <Comment>

--------------------------
| External Dependencies |
--------------------------

 gs GhostScript - PostScript and PDF language interpreter and previewer REQUIRED 7.05 9.18 OK -
 scanimage scanimage - Shell scanning program OPTIONAL 1.0 1.0.25 OK -
 avahi-utils avahi-utils OPTIONAL - 0.6.32 OK -
 error: cups CUPS - Common Unix Printing System REQUIRED 1.1 - INCOMPAT 'CUPS may not be installed or not running'
 error: xsane xsane - Graphical scanner frontend for SANE OPTIONAL 0.9 - MISSING 'xsane needs to be installed'
 error: dbus DBus - Message bus system REQUIRED - 1.10.6 MISSING 'DBUS may not be installed or not running'
 policykit PolicyKit - Administrative policy framework OPTIONAL - 0.105 OK -
 network network -wget OPTIONAL - 1.17.1 OK -

-------------------------
| General Dependencies |
-------------------------

 error: libjpeg libjpeg - JPEG library REQUIRED - - MISSING 'libjpeg needs to be installed'
 python3-reportlab Reportlab - PDF library for Python OPTIONAL 2.0 3.3.0 OK -
 python3-pil PIL - Python Imaging Library (required for commandline scanning with hp-scan) OPTIONAL - 1.1.7 OK -
 error: libnetsnmp-devel libnetsnmp-devel - SNMP networking library development files REQUIRED 5.0.9 - MISSING 'libnetsnmp-devel needs to be installed'
 error: python3-notify2 Python libnotify - Python bindings for the libnotify Desktop notifications OPTIONAL - - MISSING 'python3-notify2 needs to be installed'
 error: cups-devel CUPS devel- Common Unix Printing System development files REQUIRED - - MISSING 'cups-devel needs to be installed'
 error: python3-devel Python devel - Python development files REQUIRED 2.2 3.5.2 MISSING 'python3-devel needs to be installed'
 error: libcrypto libcrypto - OpenSSL cryptographic library REQUIRED - 1.0.2 MISSING 'libcrypto needs to be installed'
 error: sane-devel SANE - Scanning library development files REQUIRED - - MISSING 'sane-devel needs to be installed'
 python3X Python 2.2 or greater - Python programming language REQUIRED 2.2 3.5.2 OK -
 error: libusb libusb - USB library REQUIRED - 1.0 MISSING 'libusb needs to be installed'
 sane SANE - Scanning library REQUIRED - - OK -
 error: cups-image CUPS image - CUPS image development files REQUIRED - - MISSING 'cups-image needs to be installed'
 libpthread libpthread - POSIX threads library REQUIRED - b'2.23' OK -
 python3-dbus Python DBus - Python bindings for DBus REQUIRED 0.80.0 1.2.0 OK -
 python3-xml Python XML libraries REQUIRED - 2.1.0 OK -
 error: python3-pyqt4-dbus PyQt 4 DBus - DBus Support for PyQt4 OPTIONAL 4.0 - MISSING 'python3-pyqt4-dbus needs to be installed'
 error: python3-pyqt4 PyQt 4- Qt interface for Python (for Qt version 4.x) REQUIRED 4.0 - MISSING 'python3-pyqt4 needs to be installed'

---------------
| COMPILEDEP |
---------------

 error: libtool libtool - Library building support services REQUIRED - - MISSING 'libtool needs to be installed'
 error: gcc gcc - GNU Project C and C++ Compiler REQUIRED - 5.4.0 MISSING 'gcc needs to be installed'
 make make - GNU make utility to maintain groups of programs REQUIRED 3.0 4.1 OK -

----------------------
| Python Extentions |
----------------------

 cupsext CUPS-Extension REQUIRED - 3.16.3 OK -
 hpmudext IO-Extension REQUIRED - 3.16.3 OK -

-----------------------
| Scan Configuration |
-----------------------

'/etc/sane.d/dll.d/hpaio' not found.
 hpaio HPLIP-SANE-Backend REQUIRED - 3.16.3 OK 'hpaio found in /etc/sane.d/dll.conf'
 scanext Scan-SANE-Extension REQUIRED - 3.16.3 OK -

-----------------------
| Other Dependencies |
-----------------------

------------------------------
| DISCOVERED SCANNER DEVICES |
------------------------------

No Scanner found.

--------------------------
| DISCOVERED USB DEVICES |
--------------------------

No devices found.

---------------------------------
| INSTALLED CUPS PRINTER QUEUES |
---------------------------------

HP-Officejet-Pro-8600
---------------------
Type: Unknown
Device URI: dnssd://Officejet%20Pro%208600%20%5BB77C30%5D._ipp._tcp.local/?uuid=1c852a4d-b800-1f08-abcd-28924ab77c30
PPD: /etc/cups/ppd/HP-Officejet-Pro-8600.ppd
warning: Failed to read /etc/cups/ppd/HP-Officejet-Pro-8600.ppd ppd file
PPD Description:
Printer status: printer HP-Officejet-Pro-8600 now printing HP-Officejet-Pro-8600-11. enThe printer is not responding.:33:34 AM CST
warning: Printer is not HPLIP installed. Printers must use the hp: or hpfax: CUPS backend for HP-Devices.

HP-Officejet-Pro-8600-2
-----------------------
Type: Unknown
Device URI: dnssd://Officejet%20Pro%208600%20%5BB77C30%5D._ipp._tcp.local/?uuid=1c852a4d-b800-1f08-abcd-28924ab77c30
PPD: /etc/cups/ppd/HP-Officejet-Pro-8600-2.ppd
warning: Failed to read /etc/cups/ppd/HP-Officejet-Pro-8600-2.ppd ppd file
PPD Description:
Printer status: printer HP-Officejet-Pro-8600-2 is idle. enabled since Sat 27 Jan 2018 10:05:54 AM CST
warning: Printer is not HPLIP installed. Printers must use the hp: or hpfax: CUPS backend for HP-Devices.

--------------
| PERMISSION |
--------------

-----------
| SUMMARY |
-----------

Missing Required Dependencies
-----------------------------
error: 'libcups2' package is missing/incompatible
error: 'libdbus-1-dev' package is missing/incompatible
error: 'libjpeg8-dev' package is missing/incompatible
error: 'libsnmp-dev' package is missing/incompatible
error: 'snmp-mibs-downloader' package is missing/incompatible
error: 'libcups2-dev' package is missing/incompatible
error: 'cups-bsd' package is missing/incompatible
error: 'cups-client' package is missing/incompatible
error: 'python3-dev' package is missing/incompatible
error: 'openssl' package is missing/incompatible
error: 'libsane-dev' package is missing/incompatible
error: 'libusb-1.0.0-dev' package is missing/incompatible
error: 'libcupsimage2-dev' package is missing/incompatible
error: 'python3-pyqt4' package is missing/incompatible
error: 'libtool' package is missing/incompatible
error: 'build-essential' package is missing/incompatible

Missing Optional Dependencies
-----------------------------
error: 'xsane' package is missing/incompatible
error: 'python3-notify2' package is missing/incompatible
error: 'python3-dbus.mainloop.qt' package is missing/incompatible

Total Errors: 16
Total Warnings: 2

Done.