My iPhone is all jacked up, what do I do?

It's an iPhone 4, updated all the way. Music and tones will play for about half a second, and then no sound. My phone will occasionally vibrate/ring when I'm getting a call, but it's rare. And when I shut it off, it'll just turn back on by itself, so it never stays off.

WHAT DO, GUYS? I've tried problem solving each problem individually and nothing is helping so far, is there something I can do to fix all this or some of this?

Get apple to fix it, but it might cost some. Or buy a new one.

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