What would cause the high beam headlights to go on and off on a 2002 SaturnLW300

What is your question?

This new problem may be related to an ongoing problem with the left, rear turn signal that occasionally does not flash. If I smack the taillight assembly, the turn signal comes back on. Now the high beam headlights will come on and then go off when the car is not even running! Sticking relay? I did notice that when using my turn signals, the high beam light comes on and then will turn off when the turn signal shuts off. Sometimes the high beams are just on when the car is running, and can't be switched to low beams.

What makes this problem better or worse?

It's worse when the engine is cold.

How long has your 2002 Saturn LW300 had this problem?

Last night