my grandpas 2005 300c had the same thing happen (his was just the drivers door but after research we found out there was a fault in some chrysler/dodge cars around that year) turns out in the door in the wiring bundle (between the door and the car not in the door) there was a broken wire because they made it too short and after years of opening and closing it finally broke so we found the wire and just spliced in a new one to join them and hes been good ever since
My guess bad ground ,switch or relay
