score:2
Once you clear immigration and customs in Hawaii, you can certainly leave the airport, with or without luggage.
Common practice is both a) airlines open bag acceptance at the same time they open the check-in customer counter, usually 3 hours or so before flight time, and b) if the second flight is on the same carrier, there's a bag drop station immediately after immigration and customs.
I don't know if Hawaiian's baggage drop counter will accept bags so long before the second flight; on the other hand, it's a long layover and you're on their ticket. Call Hawaiian and ask.