Question 1008405
This is like asking how many different five-letter arrangements can be made from the letters A, A, B, C, and C.  Call island hopping A, Puerto visit B, and team building C.

You find this by calculating
5!/(2!)(2!) = 30 different ways to have an itinerary.

Listing them should not be difficult, just a bit time-consuming...start by listing
AABCC
ABACC
ABCAC
ACABC
ACACB
etc.
There should be thirty in all.