Welcome to FT
stevy
As you probably know already, your problem is flying West from Tahiti - no Oneworld airline does it. In fact the only Oneworld airline that flies to PPT is LA from/to IPC.
As I see it, your options are:
- Use the Global Explorer, which will allow you to fly PPT-AKL on QF's codeshare on TN metal
- drop Tahiti from your itinerary and fly ...IPC-SCL-AKL/SYD
- Have a surface segment on the ticket between PPT and AKL and purchase a separate ticket on NZ or TN (costs approx USD400 all-in according to itasoftware)