Tail lights are not working in my 2010 jeep patriot. Turns signals, brake lights, head lights, parking lights and turn signals work. I've checked fuses, bulbs, tested with multimeter and getting power to only one prong in socket.

Check for an open in the wire. There may be a break in the wire where the tailgate opens and closes. These wires often break, due to constantly being stressed. You may have to carefully cut open the bundle of wires, in order to isolate the one you need; then, check for continuity along the wire.