Right Rear Turn Signal and Brake Light inop

Right Rear Turn Signal and Brake light (Stop and Turn Lamp) does not light for turn signal or brake. It does work as a Parking Light. It does not work as an Emergency Flasher.
Also, the back-up lamp does not work on the Right side.
The Rear Parking lamp works.
I have checked for the proper bulbs (3057 and 3156) and changed the bulbs and I have changed the Tail Lamp Circuit Board ( http://tinyurl.com/lpwaf2y ).

The front right turn signal lamp flashes at a fast rate (like it would with a burnt out bulb).
All The left side lamps function properly. The license plate lamps and the Center High-Mounted Stoplamps work properly. And all the Front Lamps function properly.

I need my Right Rear turn signal / brake light and backup light to function properly.
How can I fix this problem?