MobileMe has clearly some problems

In addition to the Apple Store which is closed at the time when we write these lines, MobileMe also seems to have its problems.
Some no longer have access to their email or find it empty while Back to my Mac also seems to pose problem at least on certain accounts, the system announces a DNS problem then the Internet functions without problem on the machines.
Attention if you use the synchronization of the MobileMe calendars, for some this is also failing.