What year is your car?
And yes, sounds like the drivers side actuator is shot. It's up on the air box behind the dash/console area on the drivers side. Have to lay on the floor and look up and you should see it sticking off the side of the airbox. A couple screws and an electrical connection and it's off. The shaft has a flat spot on it to index the replacement so be sure it lines up when you put it back on.
The cig lighter may just be bad. Time to break out the multimeter and probe the connections on the backside where it connects and see if there is power there.
