Being ticketed for going 30 mph over the posted speed limit is usually a 5 point offense in New Jersey and a 6 point moving violation in New York State. Both states are part of the Drivers License Compact and Non-Resident Violator Compact so if you are convicted of this citation in New Jersey the information will be reported back to the NYS DMV.
New York State has decided that except for citations from Ontario and Quebec, points are not added to your NYS driver record if you commit an out of state traffic violation. You will need to take care of the New Jersey speeding ticket though because both NJ and NY could both suspend your license if you fail to do so.
The New York DMV does not record out of state violations onto your license but the speeding ticket from New Jersey will still need to be taken care of. If the penalties from New Jersey for such an offense are too much for you, then you may decide to hire a lawyer. To find out about the penalties that might come with such a citation, contact the entity listed on the back of the ticket or the NJ Motor Vehicle Commission.
Our Learning Center's article What a Traffic Ticket can Truly Cost You might also be of help to you at this time.