Do you mean November in one month? That will be _very_difficult.

Regarding AKL-EZE on NZ, NZ is known not to release seats to *A partners. As this route appears to be doing well, it's highly unlikely you'll find any availability.

On *A you don't really have much choice. I would do it like this: go on UA and search any combination of awards between (SYD, MEL, WLG, AKL) and (EZE, SCL, GIG, GRU, PTY). If you find a seat, any seat, go to the Aeroplan website and search the same flight. If it is available there as well, call M&M and feed them exactly what you find (i.e. "I want XX123 on XX/11/17", not "I want to fly from XXX to YYY"). They will book for you and quote the surcharge.

I see a seat from AKL to LAX on 15/11 and 16/11 with a connection to PTY. Beyond that, it's probably going to be easier to purchase a revenue ticket.

Good luck!