It is important that you make sure that any existing insurance cover that you have where you live will cover you while you set up in New Zealand. This is for life insurance, trauma insurance, income protection (disability) insurance.
Your health insurance is highly unlikely to cover you in New Zealand, which means that you need to look at the options for suitable private health/medical insurance cover in New Zealand. Most New Zealanders don't have cover for doctors or pharmacy costs these days, they tend to have cover for major medical and surgical and specialists costs.
When you are settled in NZ, it is probably worth reviewing any life insurance cover that you have, as you may well find that NZ based cover is more cost effective for you.
Other topics for you to look at if you are returning to live in New Zealand:
By Carey Church