Thanks a lot, BigBelly, it's a

I have read all your messages, and I really appreciate your time and efforts.
I am in NJ, and the attached form is the only thing I signed, without anything you mentioned in your list, even without the estimated price they suppose to claim.
My car was hit by others, the insurance company is the hiter's, not my own. The insurance company agent approves the pay for the damage, but she felt the improper business procedure, and insisted not paying them directly, by the agent's explanation, I do not feel confortable either. That's why I came here for your help.

I will follow your instruction.

Thanks again.

You have nice day.