If i were you i will replace the batteries and 'play' the shutter speed dial and asa setting to and fro. CLE's electronic is it's main weakness from what i heard. I just got my CLE and it has erratic metering and shutter speeds, also dancing LEDs but after doing things mentioned above, it's ok now. I guess the electronic contacts need some exercise.
As for repair can ask De Camera Consultant, he still has complete shutter assembly for Contax RTS II (!!!) so maybe he has some CLE parts. But fried circuit board will cost a bomb i suppose.
GOOD LUCK