lowest level speeding is 2 points, same as careless, i dunno at what level speeding becomes 4 points, i think 20-25 and up, but it may be 15-20. you can get a speeding ticket for 1-9mph over posted limit, ive seen it.
I also once got a careless 5 years ago, i left a parkign lot sideways 1st 2nd and 3rd gear through the center of my town

and a cop was doing door checks, saw me, and came after me. I didnt argue it since i could have been charged with more, and i didnt want the local cops to ahve it out for me so i plead guilty and paid it. Now the local cops dont even look twice at my cars, but then again i have calmed down a lot, but it helps with tints and such.
oh, one more thing, any out-of-state speeding ticket and violation(2, 4, 6, 8 points...etc) just carries only 2 points to NJ, except for Michigan and a few other states, they transfer nothing. my sis lives in detroit, i love it when i leave Ohio into MI.