Located about 4,500 Kilometers South of Hawaii, is made up of 15 islands.
They were named after the famous Pacific explorer Capt. James Cook.
The Cook Islands are part of the British Commonwealth
hence the Queens Crown on the insignia.
They have only one National Police force.

PLACE CURSOR ON THE INSIGNIA FOR MORE INFORMATION.

The general duty patch of the Cook Island Police Cook Islands Police, 2 inch cap patch I found this patch in New Zealand, have no information
on it at all.  Letters to Cook Islands go without reply.
I don't know if this is new issue or fake patch

Old style cap badge from Cook Islands Police Old style cap badge from Cook Islands Police Current style cap badge from Cook Islands Police Current style wallet badge from Cook Islands Police.
This is used by members of the Criminal Investigation Bureau