i still can't for the life of my tell what traces were damaged from those pictures. can you extract all the solder, scrub the area down and take a picture of a normal joint in that position vs the damaged area? basic idea is: if there is damage to a surface trace, use a conductive silver ink pen (available from all the major chem vendors). if there is damage to a solder pad, affix a new pad with a permanent adhesive and then use a jumper wire to electrically join the new pad to something it should be connected to electrically. if it's a multi-layer pcb and your bud managed to burn out a trace on a lower layer, figure out what the circuit is supposed to look like electrically and again, use a jumper wire to join two disconnected joints that should be connected.
when doing this kind of work, you need to have a couple basic tools: solder sucker and braid (soldapult and mg chem rosin braid are my faves), iron (hakko 888 is my fave, but temp control isn't absolutely necessary), and a basic multimeter. a surplus no-name is fine. fancier multimeters are more precise/calibratable, and hold that precision despite being beat upside the head daily.