2005 G6 sedan, started noticing that the doors were not unlocking when putting the car in park, and the door lock switches wouldn't do anything. Then realized the back-up lights wouldn't come on in reverse. They would blink when using the key fob lock/unlock and that works to unlock the doors when the door switches don't work. Just had to go break into my car, the wife was letting it run and left the spare keys in her purse in the car and the doors randomly locked. Are these two problems related?