Client last report time issue + overall connection issue

I think you should open a support incident. The team can help you with enabling client debug logging and help diagnose the issue.

I also suggest reading through the tip at Troubleshooting Client Reponsiveness

Based on what you’re seeing, my first guess would be that you have some custom properties that take a very long time to evaluate - such as performing a disk search with one of the ‘descendant’ inspectors - and that the client won’t report while this evaluation is running.