Uncertain about the pinout, but it should be 12V. The signal to the fuel pump is pulse-width modulation (PWM). Your previous codes suggest that your EKPS was likely in failsafe or emergency mode, operating the LPFP at a continuous 12V. It was likely already fried.
The only actions you may do are to confirm the power supply to the module and to ascertain the power reaching the fuel pump. I am unaware of a method to code the module outside, since ISTA prohibits that. A professional programmer may provide input.
The picture you provided seems to show damage to the car's undercarriage. Is this creating any issues with the vehicle, and what precise information do you seek?
Should I be in your position, I would endeavor to examine other available fuses, relays, or components to diagnose the malfunction of the rear AC button and third-row switch.