Hi,
Since you have brake and signal lights, it isn't a ground issue because they have a common ground with the parking light. Now, you have me a bit confused. You indicate there is power to the socket, but no power to the blinker socket and before that you indicated the blinker and brake light work. Please explain.
I attached a picture below that is a schematic of the light socket itself. If you look at it, note all light functions have a common ground. Also, the purple wire supplies 12v to the socket. If you do have power to the socket, and it appears ground isn't an issue, then either the socket itself is bad and not making contact.
If you could clean things up for me, I will be able to better help.
Let me know.
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Tuesday, January 28th, 2020 AT 6:33 PM