Right rear sticking

Are you sure it's the brakes causing the noise? A sticky differential will make a noise when pulling out from a stop. Especially if you are turning. It could just be that it needs the additive added to the gear oil.
See if you can duplicate the problem by jacking the rear of the car up & run it & stopping the wheels. Have someone observe what's happening in the rear.
Good luck, let us know what you find.

You might be onto something there, I just reread the OP.

Hey gang... So one of the projects this winter was getting my rear end housing fixed. When we started taking things apart we realized the right rear axle seal was leaking.

Bill, what was the repair issue??