If you booked with Delta, DL's baggage policy and fares apply. Your bag will be checked thru unless your layover at HNL is beyond the max. (4 hrs IRRC) HA is very strict on weight so if your bag is even an ounce over 50# expect to re-pack or pay the fee. Even if you booked with DL, check-in with HA. Remember bags going to the mainland will need the Agriculture inspection so allow a little extra time for that.