Three things come to mind to check,
1) Make sure that the key returns to the 'RUN' position when you start the engine.
2) This car has a BCM (Body Control Module) there may be a fault in it or a wire that connects to this module. I am not sure how to check this devise.
3) It may be a faulty relay, which one I do not know.
Might have a diagnostic check done on the cars computer and see if it has an idea what to check, sometimes they can help on problems like this.
1) Make sure that the key returns to the 'RUN' position when you start the engine.
2) This car has a BCM (Body Control Module) there may be a fault in it or a wire that connects to this module. I am not sure how to check this devise.
3) It may be a faulty relay, which one I do not know.
Might have a diagnostic check done on the cars computer and see if it has an idea what to check, sometimes they can help on problems like this.