Sit down, and relax, welcome to the wide world of iPhone (any phone really) repair. Things that work for one phone, may not work on another, logic is usually absent when these things are concerned. Should a screen lock up the entire phone, of course not. Could it, you bet your bottom dollar it can.
See also: How to Repair a cracked iPhone or iPad screen with Screen Fixed
Look at it this way, the phone sustained damage to some level enough to cause your screen to go bad. The screen has been fixed, but now it’s got issues it didn’t have happen before the incident, right? So, the next question is, are your current issues the cause of a faulty replacement screen, or did the incident cause another more serious issue. Before you jump to any conclusion , try these common bug fix’s:
The best and easiest option right now is to try a new screen. This will either confirm or eliminate the screen as the failure point. If it’s not the screen, I’m sorry to say it will likely be damage to the mainboard or failing touch i.c components on the main board.
How To Fix:
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