A availability on QF26 LAX-AKL (and 25 AKL-LAX) is generally ok. Sometimes QF block out some of the seats as BNE-LAX (via AKL) only. But book early and you should be right. Same goes for QF94/93 that continues/start to/from Melbourne on the 2 days the QF26/25 does not operate.

However, Z availability for reward seats is tight and you will need to make a special request (and have Plat QF status) if you want 3 seats on the same flight.

QF first has flat beds and great service.