that ugly word... "racism"
For someone who looks & sounds foreign, I think it would be very difficult to get a GA job in New Zealand. This is what I was told by Asian classmates while I was training nearly ten years ago. It is also what I've observed while working as an instructor, with students from all over the world. I don't know why, and I've never seen explicit racism at work (it's very illegal), but I don't see many Asian pilots in NZ-registered aircraft. Only two examples come to my mind, and they were both raised in NZ.
I am certainly not suggesting you don't come, or that you train here then go elsewhere. We need intelligent well-motivated people in NZ. Perhaps you can talk to immigration specialists in New Zealand, as they will have better information than I on these kinds of difficulties.
Not too depressing I hope!
O8