@engg2020 According to the American Society for Engineering Education (ASEE), in 2018, the average SAT score for the students admitted at the Rutgers School of Engineering (SOE) was 1420. And it probably was even higher last year.
While I am fairly certain that you will be admitted to the Rutgers SOE, I would not expect getting into the Honors program.
If you want to get into an Honors program (and even an Honors College), I recommend that you also apply to NJIT and/or Rowan.