2004 Chevrolet Malibu stability control problems

Lady lost control of car and hit a truck and smashed passenger side front section and air bags deployed. She did not have the money to pay the tow company so she let them have the car. I found this information on car facts online. My son lives in mo and purchased the car and I purchased the car due to the low miles on the car and now having problems getting the air bags to function properly. I also caller deery brothers chevrolet dealership and they checked my VIN and this car does have a recall on it.

While increasing speed, the battery light and engine light come on. The power steering stops working for a few seconds and the dash lights go out. The lights go of and the power steering starts working like normal. There is still electrical power to the rest of the car (radio works, brakes work, interior lights still work, etc.) I replaced the battery and had the charging system inspected, nothing wrong with it. Alternator is good, battery is good. No shop can explain why this happens, even the chevrolet dealer.