NZ no longer flies daily LAX-NAN, unfortunately. The flight operates M, W, F I believe. On other days they codeshare with FJ now, which you can't redeem on with ANA miles.

Since LAX-AKL-NAN or LAX-SYD-NAN is a non-logical routing as far as ANA is concerned, you'll probably need to call the MP service center to try and redeem a LAX-AKL-NAN award. Or try looking for flights on those days.