I'd probably do Paulus Hook, Liberty Harbor or Downtown before the heights or Hamilton Park. For starters your closer to transit. The ferry, light rail and Path are all right there. Also there's more of a youthful scene especially around liberty harbor down where Grove Street ends. Paulus Hook is nice but quiet but the light rail and ferry make it convenient.

That being said $3200 for a 2br is a tough ask in Jersey City at least in any of the newer developments. I mean the studios in my building are starting at that. You'd probably more realistically be looking at the newer developments in Bayonne or possibly up in Weehawken or West New York or Guttenberg which might be better for a Hudson Yards commute anyway.