Can I ask for payment from both insurance companies?

As you stated, you cannot be paid twice. Start with the at fault's insurance. You will pay a deductible with your carrier. Likely to come out ahead...

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How can a person not be liable for hit & run when they left the car running with the key inside & my car was hit ?

Dispute it with the carrier. File a criminal police report if you have not already done so and seek restitution from the court in the criminal...

Ask for a salvage title. They will take some money off of the totaled vehicle and give you the car.

If you have underinsured motorist provision in your policy or you can attempt to collect against the at fault party directly.

Who’s responsible for my damages?

The forklift operator/owner is liable for damage it caused but not for the damage to tires during transport.

Can a cop take your licence plate for no i insurance and dont they have to give you a paper plate if they do take it?

They are allowed to take the plate. On most jurisdictions they would typically cite you to court. They are under no obligation to give you a paper...

Can my settlement be overturned?

You likely signed a release from future liability with your settlement that you had legal representation on. Sounds like a done deal.

Can I sue if co signer of my vehicle trys to take our car? if im the only one making the payments? I have the receipts to prove

If his name is also on the title, he can take pisession.

File a lawsuit against the company for putting an uninsured 19 y/o with no CDL behind the wheel of a commercial vehicle?

The company may be liable under two theories of Law. They may have negligently entrusted the vehivle to him or are responsible for the actions of...

How much money, at the very least, will I be compensated with?

Need to see your medical records and bills minimally. The law follows th meds, not the other way. Talk to local counsel now