I recently replaced mine. Couple of screws across the top, two on either side, and one torx in the back. There's a vent tube that you place in after the replacement, and the valve connection for this you have to transfer from the old box (this was a very tight for both the old and new box so be careful, it's twist-lock, a lot of wiggling and cursing). You also have to transfer the light assembly, which removes downward into the box.
As long as you’ve disengaged the adhesive relatively evenly around all sides, I found mounting the suction cup in the middle (biased a little to the left or right side), helps a lot on this step.
The Parts List does not state you need a replacement display. Is this portion of the Repair Guide copied and pasted from another guide (perhaps the screen replacement guide) or will I need to procure a replacement screen before I attempt to replace the battery?