You can use iPhone Explorer (it's a free app) get it here
, to browse the contents of your iPad 2 and copy whatever you want to keep manually over to your mac or PC.
once you have saved what you want to keep, I would recommend wiping your iPad and doing a factory reset on it, as it sounds like it has gone bad.
if you are of the jail breaking type, then this would be a more involved process, as you would need to use your original .ipsw (plenty of instructions via the web for this kinda thing.)
Best of luck