Try putting in the intermediate/connection points and see if it works then, e.g. HNL-NRT-SYD-JNB-CPT-LHR-DFW-SLC-LAX-HNL. You'd still be leaving 7 segments on the table.

If that doesn't work, probably the issue is that (IIRC) JAL uses AA to ticket trips where JAL is the first carrier, resulting in the jam I mentioned where JL's and AA's systems can't talk to each other. The AA RTW desk can sort it out for you pronto, (800) 247-3247.

Just FYI, starting in Japan instead of the US would save you over 40% in either economy or business class, a savings of around $2900 in coach and $5700 in business class. Can you get from Hawaii to Tokyo and back for less than that? Yep.