I was involved in a car accident in Northern California on Monday. Basically, what happened was I was waiting at the red light when all of the sudden a car slams into the right side of the back of my car and swerves off to the right. About a second later, I feel a huge impact as another car slams into the back of my car. Turns out the driver of the 2nd car to hit my car is an uninsured, unlicensed driver who does not speak English so I couldn't even get his name. The driver of the 1st car did have insurance and gave me his information when I asked for it. The drivers of the 2 vehicles turned out to be related to each other. The police came and took a police report and they also issued citations to the 2 drivers. I reported the accident to my insurance and also to the insurance company of the 1st driver. My insurance company was able to find out the owner of the 2nd vehicle, but I have yet to ask them about what insurance company that owner has. My insurance company sent out an appraiser today and he said the car is borderline in that it might be cheaper to total than to fix. I'm really devastated by this as it's a relatively new car in excellent condition and the blue book value is substantially less if I am forced to go with that option.
Here is my question, since both vehicles hit my vehicle, can I file a claim with both insurance companies and collect from both of them since the drivers are at fault and particularly since the owner of the 2nd car had an unlicensed, uninsured driver using his car?
Hopefully, this makes sense, if not please ask me anything to clarify.

