Most likely you didn't properly repaired the device the correct way. That usually happens when you replace the glass and don't bond it with oca (optical clear adhesive) or loca (liquid optical clear adhesive). I've use to do this, when I first started repairing phones. Now I use loca to bond them, making every repair look just coming out the manufacturer as possible.
You damaged your LCD when you dropped your iPhone, but also since you are experiencing more problems. It can probably be some components got damaged on the motherboard. I've seen some couple accidental drops and notice some components were damaged.
I was repairing an iPhone 6s today, just the 4.7 inch display. I had the battery plugged in while I was doing this. As I plugged in the LCD, I’ve seen smoke rise up. Was it because of the adhesive gasket around the connectors for the LCD & digitizer connectors. That maybe I had accidentally pinch in the adhesive within the connectors or was it because i didn’t disconnected the battery.
I'm all late to this comment, but to those replacing their ipad mini ' for the first time. Here's a tip:to remove the LCD use floss or sewing spring. Feed to one corner then to the other one, then just slide it to the top and back down then lift up.