• Each time I pull the door handle from inside or outside, the side window on the will go down one notch.
  
• It does not go up one notch after the convertible top has been lowered.
  
• When I lower the top, the left window will jerkingly lower several steps and then stop.

Something is very wrong here. 2000 XK8 convertible. Happened after I installed dynamat on the door.

 

Try resetting the window stop points; the procedure is outlined in the owners manual. The quick version is first have the car key to on, then hold the switch until the window is at the bottom and then hold 5 seconds, then hold the button until the window is at the top and then hold 5 seconds. Do this for both sides. You will have trained the window where the top and bottom are.

 

Worked, perfect!