Rutgers New Brunswick (the main campus) is still accepting applications in many programs/schools (but yes, merit deadline has passed)…it is common that Rutgers main takes apps into the summer. Scroll down on this page to “September 2023 Available Enrollment” https://admissions.rutgers.edu/apply/dates-deadlines/new-brunswick
In common app it looks like NJIT is also still accepting apps, a quick call to confirm would make sense if OP is interested.