Good morning.
Look at the wiring for the tag lights at the socket. If the rear parking lights work, then the problem is right back where the socket is located. Look for any broken wires or loose connections.
As far as the third light, check the bulb and the socket. Common for the socket to melt from the heat generated from the bulb working.
Roy
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Thursday, April 19th, 2018 AT 5:32 AM