Ozzy is correct. On your outbound, enter your hotel/address in Honolulu as your ultimate destination. You pick up and recheck your bags at LAX because once you enter the US, everything is domestic, even if it is marked as a checked-through flight. Leave plenty of time for this, especially if you have to change terminals (i.e. from Terminal 3 to Terminal 2, or something like that). A 3 hour transit should be be sufficient.
On your inbound, your luggage is checked straight through, and I have to echo the sentiments of the others - Use TSA-approved locks, do not leave ANYTHING valuable in your luggage (regardless of the TSA being a federal authority, it's generally still filled with scum downstairs who will happily relieve you of your valuables).
S.