I'm seeing all the problems listed here. I think the problem happens when iOS5 is upgraded from iOS4.xx in iPhone 4. Maybe new iPhone users do not see the problem.
Apple needs to test and fix it, not providing a weird workaround solution. The problems I'm seeing are
1. Nothing show up in Lock screen, with "View in Lock Screen" On in Notification Center
2. The order of apps in Notification center never saved
3. To me, after unlock and drag down from the top, Only calendar and Stock are shown in Notification center. Not mail, Nor 3rd party apps.
4. It may not be related with Notification center, but iOS5 in general. To me, All accounts in Mail show only one account and dummy message from another account. If I click each account, it shows correct incoming mails. But the problem happens when I'd like to see combined accounts.
I was excited with Notification center mostly, but very disappointed at these bugs..