If you’re in an auto accident, you’re bound by law to wait for police to respond. Failure to do so can result in a “leaving the scene of an accident” charge, or worse. In the old days, cars in accidents had to be left exactly where they came to rest until police gave permission to move or tow them.
However, South Carolina [1] has recently loosened regulations so that if a car is blocking traffic as a result of an accident, the driver is allowed to move it enough to allow traffic to flow again. That is, if the car can be moved safely. If not, you’re not required to move it out of the way.
Since it’s illegal to drive without auto insurance, I’ll assume you have some. And because you’re insured, the best course of action in a minor accident, where injuries are unlikely, is to patiently wait for the police and give them your side of the story. In my experience, police react negatively to people who are too quick to start making accusations against other people. After that, let the insurance companies deal with it. That’s what they’re there for.
If you suspect any injuries, call 911 immediately.
Links:
[1] http://www.moon.com/destinations/south-carolina