Since it mentioned that it could not install the Ubuntu-desktop, I used
synaptic to do a search on that topic - Ubuntu-desktop.
I told it to reinstall all packages that were involved with that topic.
I noted that one of the compwiz packages was automatically uninstalled.
I apologize to not noting
Public bug reported:
First it said it was the update manager which I uninstalled and
reinstalled.
ProblemType: Bug
DistroRelease: Ubuntu 15.10
Package: ubuntu-release-upgrader-core 1:15.10.14.4
ProcVersionSignature: Ubuntu 4.2.0-36.42-generic 4.2.8-ckt8
Uname: Linux 4.2.0-36-generic x86_64
Apport