Hello my name is Dave.
It sounds to me like the most likely culprit would be the turn signal/hazard module, it is located in the floor console. I have attached a diagram of the exterior light wiring for your car. I am also including a link to our tutorials for both using a volt meter and how to test wiring.
https://www.2carpros.com/articles/how-to-use-a-voltmeter
https://www.2carpros.com/articles/how-to-check-wiring
I would test for power on the circuit going to the right taillight when the brakes are applied and if you have power then I would test the circuits between the module and the lights, if you don't have power then your module is the culprit and will need to be replaced. Please keep us up to date on your progress and than you for using 2CarPros!
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Monday, December 9th, 2019 AT 4:38 AM