Haven’t upgraded from a paper licence?
If you haven’t upgraded from a paper driver licence to a photo driver licence, you are strongly advised to do so as soon as possible.

All old style New Zealand driver licences (booklet or paper) have now been expired for more than 5 years. This means you can't drive using your old New Zealand driver licence, and you'll need to requalify your licence to get it back.
　と書いてありますね。

Your licence expired more than 5 years ago?
If your licence expired more than 5 years ago, you may have to pass theory and practical tests to requalify your licence. However, if you can produce evidence you've been licensed to drive during the past 5 years (for example with an overseas driver licence) you may not need to sit the tests.

とも書いてあります。