I've had issues with my Area51 StackExchange account since day 1 (I also have This logging out issue), with different symptoms at different times. I'm going to try to keep track of these issue from now on.
Wrong badges showing
Despite the fact that I believe I should have 1 silver badge and 6 bronze badges, My badges in the banner right now:
My badge count from my home page shows both 1S 2B and 6B in two different locations on the same page:
(I will probably get a badge for posting my this questions... which will make these images out of date... my public profile is here, in case that's helpful)