Note that to the best of my knowledge, NMF by itself does not guarantee a full ride at NJIT, but I think that expecting tuition+room (but not necessarily board/food) is reasonable. If you did not get that, contact Admissions. Also note that Honors students might need to keep a 3.2 GPA to keep their scholarship.
Rutgers Honors Program is good, but not as good as Rutgers Honors College, since it might not come with any merit scholarship, and you don’t get to sleep in the fancy Honors dorm the first year.
Deciding between commuting to Rutgers and staying at the Honors College at NJIT is not easy. How much of a financial burden is the 10K/year difference to you?
By the way, did your kid apply to Rowan too? Did you apply out-of state such at UT Dallas or ASU/Barrett?