You can in theory but it is not an easy theory. Consult with a personal injury attorney to discuss in more detail.

Wouldn't the driver be the only target once insurance has done its part?

Insurance follows the car. Unless there is an exclusion or you cause damage exceeding the limits it probably will not be a problem.

What legal rights do we have? We really do not want them to repair these items as it seems as though the complete make up of

Consult a lemon law attorney near you. Use the finder if you need help.

Could the WC policy provider deny the claim based on lack of documentation associated with the training?

I doubt it. The Comp insurance should pick this up.

If someone is robbed / assaulted / injured on street, and if police unable to find the perpetrator, who is to sue in that case?

There is no viable civil case under these facts.

If anything like a systemic infection occurs from the surgeon's sloppiness, what are my options?

Difficult theory with hopefully minimal damages. Probably not worth pursuing.

Can I be reimbursed for damaged personal items and car payments due to a lithium battery igniting in my truck?

You can make claim through your insurance. In theory you may have a products liabilty case but the damages are probably not enough to pursue that...

Can I sue the doctor for mistreatment, as he treated me like a criminal and insisted I was doing drugs?

I do not see a viable claim against the doctor from the facts presented.

What can be done about this? If someone is injured or killed is there legal recourse?

Yes in theory anyone can be sued. Why don't you just express your concerns to the appropriate people.

How do I get the workers comp administrators to pay for my approved treatment.

Schedule a meeting with your attorney to discuss your options.