To clarify, the compressor does not run at all? or it just doesn't get cold?
This is when on 12V, 120V, or both?
Might be worth tracing the continuity of the wires to ensure you're getting power in there.
I have only used it 120V. Have not tried it in my Suburban. There is a fan that runs, It does not get cold. When my hand is on the compressor while the unit is on, There is no vibration like you would feel if it was working. I will put a probe on it and check the wire this weekend. But from the pics I posted, It would seem to me that something is seriously wrong. There should be no smoke sediment or anything burnt to a crisp.