Comment 10 for bug 990689

Can you please try to remove Unity Mail from the launcher, and then add it again (drag it from the Dash)? Will that help?

Concerning your second problem ("messages appear twice in the Me menu"): I've attached a test script for that.
Can you please ensure that you have some unread mails (non-private), run it (the usual way, as in comment #3) and paste here its output?

Thanks for helping me to resolve this bug!