Will parents find out about careless driving ticket (NJ)?

I'm 18 and I was driving 70 in a 50 but the officer decided to be lenient and gave me a careless driving ticket instead of a speeding ticket, I know its 2 points on my license and $85 if i plead guilty. The car's not insured in my name, when he asked for registration, i was looking through a messy glove compartment and he told me he'd just take my word that i had registration and proof. If i pay the ticket, will my parents still find out b/c of insurance? Also is there some way I can get the points off?