OK, I have two thoughts. First, how long have you had this iPad? I have two stories. The first is when my mom was here to visit, I helped to get her an iPad for Christmas and upgraded her cell phone at Best Buy. The first night, her phone lost all her contacts. For no reason. It would not do things it should have. Then, the iPad was also screwing up. It would not allow her to enter contacts and it would do other random weird stuff. Her email stuff got totally messed up on those two items and her laptop, even. It also kept telling her her password was wrong to get into the apps. I was able to access it from my computer and change her password for her. I could get in. She could get in on her computer. But she could not get there from the iPad!!!! She struggled with these for a couple weeks, made multiple trips in for help, etc. She felt like it was her being stupid. (she just turned 80 in November!!! She's pretty wired for all that!! :~) )
Anyway, I told her to take them all in. They realized they were not behaving properly and ultimately, she changed both of them. These ones work great. So sometimes, they're just messed up.
Story 2 - I recently had to replace my iPad. My first one was great. No problems. This new one would swap me back to home screen in the middle of something. It froze up when I was showing one of our radiologist. ( I was mortified. It had never done that!) It would not let me get to the home screen and it wouldn't even hard down by holding the off button. And it isn't like you can just pop the battery off. FINALLY it did shut off.
So I called support and they suggested I restore it to like new. (After backing up all my stuff). And then set it all up again. If all your stuff is synced on your computer, this is pretty painless. I did that a few days ago, and all seems good now. I am still giving it a few more days before I put my Invisible shield on, though!
I was told if this worked, it just reset the software. If it didn't, it was a hardware problem and would need to be returned.
So, I would try restoring it and starting over. Hopefully that will fix it. If it doesn't, go in and have em fix it or replace it.
I hope this helps you, Sweet Poison. I know how frustrating it is, and I feel for you. Good luck!!!