A new head coach often means wholesale turnover in the assistant ranks, but not always.
A new coach usually wants to get "his guys" into his new school as his staff. This is particularly true when the new guy was the head coach at another school. But sometimes, the new bossman will keep some of the old regime's assistants, for either recruiting, program culture, or X's and O's reasons.
Obviously, this speculative exercise depends greatly on who the new coach is, which we don't know yet, but there a few likely candidates on the current Rutgers staff who may stick around.