iphone 5 won't turn on?

my dad bought an iphone 5 from my aunt after i broke my iphone 5s but the iphone 5 he got me was used but the condition was 9/10 because the screen was a little loose on the top but i kept it with a cover that would hold it tight but it wasn't nothing big and i really needed a phone. however, i got it in december & a couple weeks ago, i went to go fix the screen after so much time but then the guy saw my battery and also my camera, like it was just completely black. he said the battery was bad and gave me a new one for free though, not bran new but a new one. after a week of that, my phone would start glitching out of random? then i would drop it or it would slip from my hand hard but i'd catch it, or it would fall from my pocket as i was sitting, and each time it would constantly turn off. like for anything dumb it would turn off. now it won't turn on AT ALL. but i didn't let it drop, it just died and when i put it to charge it never turned on. can i fix this issue?