The two microswitches inside the driver's side transmission don't usually cause a problem, but it has happened. Not likely the cause of your problem.
The intermittent nature of the central locking function light on the button on the dashboard may be caused by a fault in the driver's side door lock assembly. There are six solder connections and microswitches inside that assembly. When the solder connections crack (a common occurrence) you get that intermittent problem, usually accompanied by the window not staying dropped by 1/2 inch when the door is open and you let go of the handle. That is a separate problem from the convertible top but the central alarm control unit definitely affects and controls the operation of the windows.
If you install a known good relay and the problem remains, and you don't want to do electrical testing yet, try smacking the electric motor with a small hammer a few times with the convertible top switch pressed down.
Here is a diagram of where that little fuse is located on the central alarm control unit (Courtesy of Richard Hamilton).
Regards, Maurice.