I got my new ipad on the first day it came out and recently noticed that there is a dead pixel on the screen. At least I think it's a dead pixel because there's one black spot that doesn't move no matter how much i scroll on the screen. It's only noticeable when browsing websites with white background or reading books. I also don't think my battery is holding up as well as it should. It seems to stay at 100% for a fair bit but then begins dropping very quickly and I think overall I'm getting worse battery life than I did on my ipad1. While I didn't get applecare, there should still be a 1 year warranty from apple, so do you guys think it's worth it bringing the ipad to the apple store and replacing it or am I just risking getting a new ipad that will have a dead pixel in a worse area or worse battery or something else even?