Since you read Steady-EDI's report, I assume you're aware that the QF SYD-HNL flight does not feature First Class, so that one will only be in Business Class. If you really want to include Hawaii on your trip, then you have no choice, but if you are willing to skip it, there are better ways to cross the Pacific. FWIW, I would not take that flight. To me, if I am payign for a First Class RTW, the thought of not being in F for my Pacific crossing is a non-starter. YMMV.
Also, you might want to consider routing on a transcon flight out of LAX or SFO to JFK. The service on these flights is quite nice (very similar to International F standard) and, to me, is an essential part of a RTW. You could do more to maximize your U.S. segments, but I suspect you selected what you did because that is where you want to go (what an odd concept

).
In any event, have fun, these are great tickets and should be a fun experience!