First, a convenience store parking lot is not legally considered private property. Either way, the cops can conduct an investigation wherever the investigation takes them, generally. However, if you stopped and gave the correct insurance information to the other folks involved in the accident, you cannnot be guilty of "failing to stop and give information," which is the criminal charge that would be filed in a "hit and run" situation/allegation. So, if you are arrested and charged with that offense, you can and should fight to make sure it does not become a conviction on your permanent criminal record.
Answered on Dec 17th, 2013 at 4:50 PM