When I was trying to take my car off my apartment's parking lot, I mistakenly stepped on the gas when I was in drive thinking I was in Reverse and Hit a parked car (Nobody was inside) and hit the aprtment too (I don't how it happened that fast, but I think it might be the result of me drving a different car which I rented to go out to Newyork city and Niagara). It was my mistake that I should have been in the correct gear and should have used the correct amount of gas. The damaged car owner was not aware of what to do and waited for her husband. I called up my insurance and informed and they said they will take care of everything including the rental car for the damaged car and they told me I don't need to inform the cops since it is a private property. The apartment guys came in and checked the damage and asked me my insurance details and they too told not to inform the police since it was the aprtment's private property and left. The husband of the damaged car came in and he didn't hear what I said about taking care of his car and called the police. The police came in and gave me 3 points for careless driving. I read that careless driving cannot be given for private areas, please advise.

Apparently you heard wrong. NY law makes no such exclusion and requires that you report the accident to the DMV or local police. NYS DMV - Frequently Asked Questions (http://www.nydmv.state.ny.us/dmvfaqs.htm#accident)

I am accident investigator in NY. The Police investigate and prepare an accident report on private property. I've seen tickets issued for unsafe passing, unsafe pulling out, in parking lots.

I would believe what the Police said and did over what non-Police told you and what you have "heard."

Sorry for not Giving the full information, I live in Troy, Michigan and the accident happened here.