Hi,
Unfortunately I don`t think you can remove just the cover on the top of the switches (drivers door).You have to remove the whole inside door panel first.After that the panel is attached to the door on 5 points-one wire on the front of the panel,wiring for the speaker,internal door light and 2 connectors for the window switches one next to the other.If you disconnect the last 4 points you can turn the door panel and work easily. Also from there(from inside) you can remove the switch boxes(actually I believe is just one but with two connectors on the bottom) and look for possible problem in the connection or the wiring.I did the sound insulation and deadening on the doors just few weeks ago and still everything is fresh in my mind.