I just tested this myself against our live server and noticed the Folder behavior. I was not able to reproduce your #2, I think 1, 3, and 4 are all related to the same problem.
I've put this on our list of things to fix and I will update the thread as it more develops. If you want to try reproducing #2 again (from a refresh, clean slate) and making sure your steps reproduce the issue. If you have any more information regarding it, we can try to reproduce it again.
Matt Petty
Senior Software Developer
SmarterTools Inc.
www.smartertools.com