Here is a map from the RPM for the total accumulated snowfall amounts:
This system will bring lighter precipitation than the last event and this limits the amount of evaporational cooling which is going to be needed for any good accumulations over the shore and south Jersey. Most of the state will remain as snow but with surface temperatures above freezing south of I-78 it's going to have a difficult time to accumulate. Just for reference let's look at some soundings for a location north and south.
Sounding for K12N:
This is an atmospheric profile for Andover Airport in Sussex county. The red line is the freezing mark and the two blue lines are temperature and dew point. This location will have no problem with accumulation and it will be a plowable snow event of 2"-4".
Sounding for KBLM:
This sounding is for Belmar and notice how the blue lines cross the red line near the surface. This is snow falling but only accumulating to the grassy surfaces with minor accumulations.
Basically this is a north Jersey snow event here and widespread accumulations of 2"-4" with the highest elevations getting the most simply because of higher liquid-snow ratios. Enjoy the weekend everyone!