I believe illumination and operation are separate: the switches illuminate with the headlights.
With the factory fit system, you could put the key in the door lock and hold it in the locked (or unlocked) position and the windows would raise (or lower).
If your car has the wiring on the door lock, you could try opening/closing from the key - this bypasses the window switches.
If all else fails, concentrate on one door:
# is ground connected?
- need continuity from battery to the thick brown wire on the window module in the door
# is there power - I guess there sh