I recently repaired a board where the wires were soldered to the PINS of the connectors. I agree with the THEDEFOG. I just repaired an TAF MPU board that had some pretty bad hacks. Some thru-hole connectors were bad. I found the schematic, and with my ohmmeter checked pin-to-pin continuity and used a highlighter to cross off each connection on the schematic. I found 2 missing runs (basically at the through holes where bad repairs were made).
If you don't have the right tools, I would be wary as you can do more damage than good. I recommend a good desoldering tool to clean up all the bad work (Hakko 808 is what I use)