OK, BUT before you do that, make sure you do a backup. If anything has gone wrong with the hardware, they will likely replace it on the spot, and you will lose your data.
This brings us to another consideration. Normally, you would set up a replacement iPad from the backup of your old one. This MAY not work for you, since you could have something screwed up in your settings. The bad setting will also transfer to the new one, so here's where you are hoping that you do have a hardware fault, or something that the Apple Store can fix.
So any data you can move to a safe place should be moved, so that you can set up any new iPad as a new device, and then manually transfer your data back onto it. Purchases won't be a problem. You can simply download them again.
Good luck.