Hello Bickity,
I would say yes that a Genius Bar trip is in your future. Before you do that, take a look at the link below for more information about what to expect when having it serviced. It will talk about mailing it in but the back up part is the thing you want to pay attention to the most.
http://support.apple.com/kb/index?page=servicefaq&geo=United_States&product=ipad
Regards,
-Norm G.