You Do Need power plug adapter while traveling from Antigua and Barbuda to New Zealand.

Here is Why You Need An Adapter

The outlet and plug type used in New Zealand is I and in Antigua and Barbuda are A and B. This is how they look like.

Antigua and Barbuda

In Antigua and Barbuda, outlets of type A and B are in use.

Type A

Type B

New Zealand

In New Zealand, outlets of type I are in use.

Type I