My Me tile also has been getting "stuck" the past week or so. (Samsung Focus S on T-Mobile). Just a thought, I wonder if it's a Windows Live setting instead of a Facebook or phone setting though, since Live recently revised their "Connected Apps" settings page?
For kicks I just looked at my Apps privacy settings on Facebook.com for the Windows Live app which seemed ok. Then I deleted my Facebook account from my phone and then added it again. After a confirmation email from Windows Live that I was now connected to Facebook, I checked the settings at live.com and some key boxes were unchecked so I checked them. This fixed the Me tile right now and a few previously missing notifications popped up. But, I'll have to wait a day or two to see if it's back to normal. If not, I might try the same thing again but also will try deleting the Windows Live app from Facebook as well to start over with a clean slate.