My iPhone 5 isn't working right? What do I do?

I have an iPhone 5 and got it in like December? For a couple months now my phone has been freezing and will respond a couple minutes later. Or when I'm in apps it will just stop and go to the home screen. The screen will also stop responding when I'm doing stuff and it'll start clicking other things. A couple weeks ago I dropped it and the screen shattered. So this isn't just happening because of the screen. It has also been going very slow and it's not cause I'm out of space cause just last month I deleted over 700 pictures. I went to the Verizon store and they told me to try resetting the phone. I did that and backed it up and none of the problems were fixed. What could I do to fix this?

My iPhone 4S does that too. It's just a manufacturing problem.

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