Tiiiincho
I would follow Jan's advice totally. Safety and tracing causation are important. Having said that, my mind moved on to what might have caused the problem in the first place. Let me give an example.
Take apart a non-functioning vcr and you might find crayons that a child has poked into the device. Remove the crayons and the vcr might work just fine again. What if a foreign object got into the compter?
We have taken computers apart, only to find a loose screw under the motherboard. The screw was shorting something out, causing a malfuntion. Remove the screw and the computer goes back to normal.
Without knowing the cause of the problem, we are free to speculate! The image makes me wonder if dust, a paperclip, staple or other small metal object may have bridged the two 'wires' and caused a short. The heat from the short may have caused the damage at both ends. If, big emphasis on IF, such was the cause of the damage, then simply restoring continuity would be just fine. At a minimum, we can conclude that it is heat related damage.
The physician's creed of 'do no harm' is what Jan is warning to avoid. My two cents would be "what do you have to lose?"
Radio Shack sells (sold?) copper paint for the task. Do a web search for 'conductive paint circuit board' for other sources. Obviously, the contacts will have to be cleaned, soldered and resealed to give a good connection and protection but what you use is up to you. It is well out of warranty!
Some notes of possible interest:
http://www.instructables.com/id/Stop-using-Ferric-Chloride-etchant!--A-better-et c/
http://www.talkbass.com/forum/f38/diy-conductive-paint-cavity-shielding-589012/