I have some encouraging remarks and some possibly discouraging ones.
Encouraging first: if you go to one of the truly tippy-top NJ private schools, it’s likely that students “only” in the top quartile or even top third or lower have been accepted to your reaches, even unhooked students. Confirm with your college counselor.
Possibly discouraging: if you are considering applying to CHE because it has a higher acceptance rate, you should be aware of two things. One, the acceptance rate at the contract colleges is likely lower for out-of-state students. Two, the rates are somewhat misleading because of self-selection and high yield. The contract colleges put a lot of emphasis on fit and transcripts and ECs that can answer the “why” question convincingly and specifically. As someone alluded to above, your case for HBHS needs to be strengthened.
Note that it doesn’t matter which specific college your parent attended, you are considered a legacy for all of them, and your aunt’s connection, while a nice story, will not help you in any meaningful way with CHE.
Good luck.