I took a look, I believe if you can change the transpacific sector to QF you can save some fuel surcharge. QF code is currently not available on AA's AKL-LAX, but if it were, a hypothetical itinerary below would make total tax and fees only 70440 JPY. I do not know which of these are stopovers and which are transits, so right now I'm assuming they are all stopovers.
Code:
WQNRT/AQF1MAY/CLMEL/AQF/CLDRW/AQF/CLADL/AQF/CLBNE/AQF/CLAKL/AQF/
CLLAX/AAA/CLORD/AAA/CLYVR/AAA/CLDFW/AAA/CLIAH/AAA/CLCLT/AAA/CLJF
K/ABA/CLLGW/ABA/CLAMS/ACX/CLHKG/ACX/CLHND-RW/MJPY«
PSGR TYPE ADT
FARE BASIS BOOK CODE FARE TAX/FEES/CHGS TOTAL
01 LONE4 L/L/L/L/* JPY 354600 70440 425040 ADT
02 LONE5 L/L/L/L/* JPY 418800 70440 489240 ADT
03 LONE6 L/L/L/L/* JPY 485000 70440 555440 ADT
*01-03*FLIGHT RESTRICTIONS APPLY
*01-03*ADV RES/TICKETING REQUIRED
*01-03*CONFIRMED RES REQUIRED
*01-03*MIN/MAX STAY REQUIREMENTS APPLY
ATTN*SEE OTHER FARES - USE XM QUALIFIER, E.G. WQCTY/ACRCTY-XM
ATTN*SEE ALL FARES - USE AL QUALIFIER, E.G. WQCTY/ACRCTY-AL
** TOTALS INCLUDE KNOWN TAXES AND FEES **
** TOTAL FARE, TAXES AND FEES MAY CHANGE ONCE FLIGHTS ARE
CONFIRMED **
.