QF trans-pac award flights are rare as hen’s teeth. this is QF's major earning route and they are the only one flying direct with a decent service (UA has not recovered sufficiently to consider them unless it is an amazing deal). NZ via AKL is a worth a look.
i had a brief look at award bookings for the month of Dec and whilst early in the month economy fares are available i can't find any J fares. note only i looked for one seat.
if you can, don't go QF go AA. QF has huge award fuel fines and you often have a better chance at an award booking through AA.
LA to SYD one way on QF is 48,000 and about AUD$400+ in fees. AA is less by about 10%.
That said, across the pacific 3 months out from Christmas....
sorry mate but you have not much hope on a oneworld carrier. keep looking though, this airline game is fickle at times.
ps. if you are from RDU. GO PACK!