touch screen not pressing how its suppsed to be!

Hello! so umm a 7 months ago i dropped my phone and it broke the screen protector and the normal screen. then i went out and and replaced my iphone screen , and put a new glass screen protector on it . first week it wasnt pressing fine and i tought maybe the iphone needs to adjust and it did. after my friend kindof dropped the phone 2-3 months ago and it started to have the same glitch and everything but they solved like in 10 mins of using the iphone. now its barely usable!!! the screen isnt that cracked( it has a few cracks) but mainly theres no corners to the screen protector and a few cracks in the center. now my problem is that it doesnt press or when it does , it presses near when i need it to press like when i try to slide to make a photo it slides a lil and it goes awayy.. should i take the screen protector out?? please help me cuz i will be in trouble if i cant resolve this myself. also i did get my iphone storage cleane out and got the newest updatess