Sounds like a good idea to give it a good clean and then just for the sake of it see if it works any better.
After that, one of your friends should be able to repair it quite easily if it is just damage to the top layer. It is a four-layer board (two layers in the middle, one on top and one bottom, so if it has eaten into the middle layers, it can become a real hassle.
It would probably be best to repair the tracks by connecting them again by soldering and thin wire.
Those pens tend to be rather bulky and the damage will most likely result in a very uneven surface, with possible penetration to the middle layers and if so, painting a new trace would result in a short-circuit, so I would advice against it. Anyhow, it depends on the amount of damage and the situation. Your friend should know, or else he should not be doing the repair

.
Here you can find schematics for the A3000 if you need to do any trace-validation between pins on components when repairing.
Btw, pick the friend which is most skilled with the soldering iron.
/Patrik