You will have lounge access also in PPT with a first class ticket (or with Priority Pass). No showers, though... club is on second level, take stairs or elevator across from gates inside security. They are not always open for HA flights, but if there is another outgoing flight within 150 minutes, you will have access.
Going through customs in HNL on your way back, you collect your bags and then recheck them to your connecting LAX flight right there before exiting customs, so you don't have to recheck outside security again.