You Do Need power plug adapter while traveling from Sint Eustatius to New Zealand.

Here is Why You Need An Adapter

The outlet and plug type used in New Zealand is I and in Sint Eustatius are A, B, C and F. This is how they look like.

Sint Eustatius

In Sint Eustatius, outlets of type A, B, C and F are in use.

Type A

Type B

Type C

Type F

New Zealand

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

Type I