Light came on again!!! I think there is no other solution than to get a NOS Assembly somewhere? Anyone has a different approach or solution to solve this? I also noticed that when i actívate one of the turn signals either to the left of right, it also blinks a Little bit!

Probably means that your brakes need bleeding.  The light indicates a pressure imbalance between the front and back brake systems. The thing with the wire connected to it is the pressure switch. 

or you could have a bad ground some where and the current id feeding to ground through the light...

Take the red LED out and replace it with a normal incandescent bulb and see what happens.

Problem came back again! Brake Light started to dim lightly. How can i service the Assembly - Switch Brake Indicator??? Any kit is being sold?

This problem comes and goes. Now its gone again!!