You are on the right track. Some of those Torx screws are long and some are short. The long ones attach the fascia to the door and the others hold the door itself together. If you come across a short one, just screw it back in. The long ones don't need to be pulled completely out, just fully unscrewed from the fascia. Finally, it's only the top and sides, which are secured by the Torx screws. The bottom is held in by a tab on either side. So, once the screws are out, just slide the door upward and out of the slots.
Anon, March 2009