Also, I assume you are needing to splice a connector back onto these circuits. If so, this video is great on how to solder wires correct. I understand this is a headlight connector, but the process is the same for any connector.
Repair Safety Notice: This information is for general instructional purposes only. Vehicle repair can be dangerous. Verify all information, follow manufacturer service procedures, use proper tools and safety equipment, and consult a qualified repair shop when needed.