"What happens when someone else does the Queen or King's job in New Zealand"
If the royal functions are being performed by a Regent in the United Kingdom, the same Regent will perform the royal functions in New Zealand. This means the Regent will act on behalf of the Sovereign in New Zealand. You will see the Regent's name used when they make decisions for the Sovereign in New Zealand.
The Governor-General still has the authority to make decisions for the Sovereign in New Zealand, even when a Regent is acting on the Sovereign's behalf. This applies to all the powers the Sovereign has in New Zealand. The Governor-General can exercise these powers as they normally would.
When a Regent is acting for the Sovereign, it does not change the way the Governor-General works in New Zealand. The Governor-General still has the same role and responsibilities as they do when the Sovereign is acting directly.
"What happens to the monarch's jobs and powers when they die"
Part 1The Sovereign
4Regency
Where, under the law of the United Kingdom, the royal functions are being performed in the name and on behalf of the Sovereign by a Regent, the royal functions of the Sovereign in right of New Zealand shall be performed in the name and on behalf of the Sovereign by that Regent.
Nothing in subsection (1) limits, in relation to any power of the Sovereign in right of New Zealand, the authority of the Governor-General to exercise that power.