My new (since Christmas) iPad mini won't turn on. It's never been dropped and has no damage whatsoever. Twice today I was using it then it went to a blank screen, they were glitches. The first time it went to a plain black screen, so I held the home and power button and reset it then turned it back on. Then an hour or so later it glitched to a blue screen and there were fuzzy lines at the top of the screen. I reset it and now it won't turn on.

It isn't out of battery.

This probably doesn't matter but there have been headphones (not the ones that come with the iPad) plugged in the entire time.

Please help! Thanks