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.