My 17 yr old son was in a car accident, for not having insurance he is being billed $6000.00 for damages to the other car.

the insurance company will certainly file a lawsuit against you for subrogation...that means that they paid their insured (the other car owner) for his damages and seek to recover that money from you since it was your car that was in the crash and your son who was driving. i cannot answer your other question with respect to your son's obligation. i don't know that minors have limited liability.

Under Washington State law, you are ultimately responsible for the damages caused by your son's collision. However, from the facts you shared it's difficult to tell why he was at fault for the collision. I'm assuming he would have to have been more than a little over the stop line to be in the lane of travel for oncoming traffic. Was the collision investigated by the police?

There is no limit to the amount of the claim. Because he was using the car with your permission, and the car was uninsured, the liability for his damages passes onto you under something called the Family Car Doctrine.

I would recommend speaking to an attorney that defends car collision claims. There are many on AVVO that can help you defend against this kind of claim.