It hurts to be hit by a new car, but as long as the car is on the road, there is no way to avoid the danger of being hit!
Give you some advice. The other party is fully responsible. You must be strong! You must go to the 4S shop to repair the new car. You can't go to the insurance company to arrange a repair shop for you! Damaged parts should be replaced with new ones! As you said; "The rear taillight is broken, the trunk is deformed, and the rear bumper is broken." This should not be a serious collision. The accessories are brand new, and the rear fender is also reshaped. Rebuild the rear apron! It should be no problem to do rust prevention after repair.
Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.