audio jack and lightning not working after screen and battery replaced

Aftermarket screens will never look quite like the original including higher quality parts like Ifixit offers. However, if you’re having touch sensitivity issues I’d ask for a replacement, defective parts happen.

Sounds like one of two things happened the most likely being the dock connector to the logicboard got unplugged. The other option makes much less sense as you don’t remove the dock during either of those repairs but it is possible that you’ve damaged the dock and need to replace it. I’d check to make sure it’s plugged into the logicboard