I finally decided to remove my rear right tail light and inspect. When I removed the bulb socket from brake light, I noticed that the tail light housing contact point was not only burnt, BUT IT HAD A HOLE in the metal, it melted right through. No wander changing the bulb and socket did not do it.

I soldered the hole shut and added solder around the area, as well as some more on the contact point on the bulb socket.
I also used electric grease (the generic type used for spark plug cables which prevents corrosion and helps conductivity).

The fix is working, for now. I'm sure we are all skeptical on how long it will last. But for now, the brake lights work.

I am puzzled as to why the tail light has two bulbs, the top one dual fillament, and the brake light/tail light bulb is single fillament! Should it not be the other way around? If a bulb is lit for your tail light when headlights are on, and then illuminates beighter when brakes are applied, should it not be a dual fillament bulb?

Thanks everyone...