The companies are legally obligated to keep your vehicles safe and secure and are responsible for any damage caused during shipping, for which they’ll have to pay if any kind of mishap takes place. I recommend that you read the site https://transportgator.com/. Everything is detailed here and you can choose reliable partners.
Yes, the seller has a responsibility to deliver the subject matter of the agreement in a condition that has either been agreed upon or is acceptable to the purchaser.
You should be able to sue in a civil court for the amount that you had to pay to put fix your motor vehicle.
If you transfer the car moving process to another decent company, then it is responsible for the transportation of your car, this should be written in the contract and clearly indicate what defects the car has before transportation if any exist. It is best to compare companies on a special site, and only then choose the best.