Will possession of marijuana in a vehicle show up on the NDR?

I already plead guilty to this conviction. Will this stay on my record? State point system says that most one point violations stay on my record for 3 years. Does that mean the point will stay there and the record and when the 3 years passed, both the point and record would be gone or just the point would be gone and the record will still be there? I was never arrested or fingerprinted, just an infraction and paid the fine. It’s been a year already and at the time, I asked the judge if I can do a different program so I can get it dismiss but he said no.