IPhone 5 unresponsive touchscreen?

Okay so, I have an iphone 5 which I got last January. It was fine for a couple months but then the touch screen stopped working. Every few times I would use it, it would just stop working. I would have to lock my phone and then try again. It sucks. So anyways, I got my screen replaced. It was fine the first day or so, but now it's still doing the same thing! I'm so frustrated. Why does it do that. Like is there anything I can do? It was working fine before and then all of a sudden just messed up. It's so annoying having to lock my phone every few seconds…
Please help! Preferably professionals but anyone is welcome to offer some help. I really need this. Oh and don't tell me to go to the Apple Store because I do not have a warranty on it. Replacing is not really an option.

Did you replace the digitizer with the screen. If you did, It could just be a connection issue, where taking it apart and cleaning the connections might fix it. I would first back up my data and do a hard reset. You can find a youtube video showing that process

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