You can tell the screen is on but your taps and swipes don’t have any effect? Then there’s probably something wrong with this touchscreen-connector.
Check if it is properly connected to the logic board. Even the slightest fracture can also cause the touch-sensor to malfunction. You need to be very careful when replacing the screen! If the cable gets bent and stuck between the screen and the frame it can break and cause touch-issues such as these.