Much easier if you put the screwdriver head on the screw and then insert it into the opening. The slight magnetism will hold it in place. Don’t fully tighten a screw until all the screws are in place. Much like installing lug nuts on a car.
I recommend preheating the case before trying to remove each adhesive tape. Also, try wrapping the tape around a pencil as you pull and stretch the tape. I think that such gives a more even pull across the tape than by using one’s fingers.