Lincoln Park Police, Michigan

Hello, hope everyone is doing well, I'm going off the title of this blog to tell you a story and maybe get some feed back from any. Yesterday i took my son to get McDonald's to bring home and eat, after we got our food we went to the gas station 50 feet from my house to get pop, as we were leaving i side swipe a parked car only leaving a minor scratch that could be wipe off with a rag, anyways, i stopped to to the old switch info and leave like most normal people would do, first off the lady had said that the damage on her car was much more then a scratch, she then pointed to a large dent with rust on it, i said that's old, that's not from me,then my son came out of the car and wanted me to take him to my house so he could eat, i said to the lady i live in that house over there, let me get my sons food together and than we can exchange info, out of the blue she started dropping f bombs and calling me a drunk( i don't drink)in front of my son. So i put my son in the car and pointed to the lady where i would be, 5 minutes later i had 3 cop cars at my place doing there routine, to make a long story short. THE LINCOLN PARK POLICE gave me a ticket for leaving the scene of a accident, which is 6 points on your license, a DUI is only 3 points, did i do the right thing? post away please, i need to know why i now have to spend a grand on a lawyer so i don't get the 6 Pt's, which also give you a suspended license, maybe i should have gotten plaster and then get into a wreck, the fine would be less. Thank for letting me blow off some steam, leave your comments and if you can help, i would appreciate it.