What part of my iPhone 5c needs to be replaced?

I'm gonna try to be as specific as possible so please bear with me if I seem to be rambling. I dropped my iPhone 5c a while ago and the top two corners(above the touch screen) fell off and the top right corner popped out of the casing a little bit. At first the phone became very unresponsive to touch and would even register touch without me actually doing anything, that problem fixed itself for a while and the only issue was that any button on the keyboard where the "p" is located was unresponsive, which was manageable for me. However, yesterday the issue arose again, now whenever I unlock my phone and attempt to swipe to the side to enter my pin it wont register unless I lock it again and unlock it very quickly. Plus, the screen is becoming unresponsive to touch and registering touch by itself again. What do you think the issue is?
I've read that my issue may be the digitizer/LCD something along those lines, does any iPhone repair place do these kinds of repairs or do I need to go another route? Thank you!
Added (1). I also noticed that if I press kind of hard on the right side of my screen when attempting to unlock my phone I can unlock it on the first try instead of the second try

Read more: What part of my iPhone 5c needs to be replaced?