Did you try to do reset by pressing the buttons power and home for 10 seconds ?
If this does not work, I think it's a display problem.
here is the guide to replace : [guide|29710]
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***iFixit Staff Edit:*** For more details on how to diagnose a nonfunctional touch screen and further assistance with your problem, check out our [link|https://www.ifixit.com/Wiki/iPhone_Touch_Screen_Not_Working|iPhone Touch Screen Not Working|new_window=true] troubleshooting page.
Hello,
Did you try to do reset by pressing the buttons power and home for 10 seconds ?
If this does not work, I think it's a display problem.
here is the guide to replace : [guide|29710]