Why is my brand new iPhone 4 glitching like this?

Okay, My old iPhone 4 messed up and the apple store could not fix it, so I paid $150 to swap out for a brand new one. The phone was working great… There's NO water damages. & I haven't really dropped it. Recently, my phone has been glitching like mad. The screen goes crazy. Like the phone has a mind of its own! It will just bring up apps all by its self, if i'm texting sometimes it won't let me tap a certain letter or something. If i try to tap something it will tap something else all by itself! Its So annoying! What in the world is the problem! Someone please help. Should I take this phone back to the apple store or what? I didn't buy the warranty so I'm not sure if they'll fix it or not.

I think your iphone is jailbroken, if not you should definitely take it to the apple store. There's no other choice.

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