Not usually, but it can be risky if they took your name and Insurance Info or Driver's License info. Normally, no damage, no problem. I wouldn't worry about it.
Probably not. If the other driver doesn't have any damage and didn't take any information from you then you are left with the damage to your car and you can decide to live with that or make a claim on your own insurance policy for that damage, if you have collision coverage. If you damage is minor I would probably not make a claim on your policy.
In case of an accident with a property damage of $750 or higher, each driver must file a report (SR1) to the:
Yes.
The Insurer of the at fault driver pays for the accident.
if you add them AFTER they have an accident, they will not be covered for anything that happened during, or as a result of, the accident
Tell that driver exactly that. And see what type of arrangement, you can come up with. In most states, your license will be suspended for a year, so if its not your fault, explain to the driver, even with your information it will not tilt the scales in his favor with the insurance company, but surely damage your license.
Your insurance information and contact information would suffice.
Contact the authorities in the area the accident occured, surely they will be able to provide assistance.
If the other driver suffered property damage or was injured, he can sue the driver who caused the accident, regardless of the speed of collision.
Yep. if they did the damage.
The owner of the car is liable for the accident itself and the damage. However, the insurance company might have to pay for it, depending on the owners insurance cover.
Most likely yes.. but your rates are going up, and the driver will be cited.