The third-generation Ram was unveiled on February 7, 2001 at the 2001 Chicago Auto Show. This was a major update including an all new frame, suspension, powertrains, interiors, and sheet metal.
Check the pedal switch if it is not properly adjusted the brake light will come on as if the pedal was being depressed. You may also want to check the spring return on the brake pedal if its not tight enough the pedal will sag and the light will come on. Hope this helps