@esmi That seems to have worked. I have added back a few plugins and am going to give it a few days to see if things remain stable before adding more. Thanks for your help.
@esmi The server is running Crashplan so it gets an automatic backup whenver files change. This is what I restored to. Prior to the upgrade I was running 3.5.1. I keep up with WP and plugin updates since I know those are important for security.