I hate my iPad. It’s too screwy. Keeps shutting down when I try to open sites. I wish I could get rid of it.
It sounds like it has a problem, since you’ll find that’s not considered “normal operation” ... :-) ...
I actually just took care of a kind of similar problem a number of weeks ago (not exactly like it, though). It was a Saturday morning, I went in to Starbucks and within 20 minutes of being there, it started going into an infinite reboot cycle.
Within an hour after that, I was headed on down to the Apple Store (after going home first), Within 10 minutes of walking into the Apple Store, they ordered me a new iPad ... no charge! It arrived two days later, and I went in and in less than 10 minutes, I had the new iPad.
I think you should head on down there ... :-) ...
Bring it to an Apple Store. They may be able to offer you a good deal on a repair. No guarantees, but Apple does have a good reputation for customer service.