Montego Bay Jamaica is a beautiful yet very poor port. We took a cab $5/person to Doctor's Cave Beach. The cab let us out 5 blocks away from our destination and we had to walk. The "Hip Strip" is very seedy and the people of MoBay are pushy and don't lose any opportunity to sell anything. There are people pushing "ganja" right at you. I did not feel "unsafe" but it is a place to know where you are going and be confident- watch your belongings and give firm "no's". However, once you get to the beach you are in a crystal blue paradise. Chairs and umbrellas cost but t is worth it. There is a café, waiters delivering drinks on the beach and calm blue water. People are also selling things on the beach. The 5y got her hair braided and loved it. The ride back to the pier was less intimidating- we ate lunch on the ship and waited for sail away.
We tendered in Grand Cayman. For ASD you need ear muffs again- the boats are loud and completely filled with people(so a lot of voices). We then took an excursion to Sea World Observatory boat booked by NCL. It was really neat and perfect for ASD- not completely enclosed and there is an upper deck if you encounter problems. The guide was nice and pointed our fish to my other two kids- they were fascinated. They do put about 40 people in a smaller enclosed space. After that we walked around and shopped. We ventured to Burger King to get nuggets for the ASD (because she had only eaten cereal and pizza in days)- it was really expensive and they did not have nuggets. Stopped at duty free to pickup Doritos (for the ASD) and tendered back to the ship. My son was impressed with the cold towels (there was no greeting in Jamaica).
Cozumel was a later day than the other two. We left the ship and walked through a market and around the streets close to port for a while. The ear muffs came in handy again- a lot of cars and people. The people of Cozumel also try to sell everything but they are less pushy than in Jamaica. We got several souvenirs and stuff for the kids. Then we took an $18 cab to Mr Sanchos on the Beach (free beach and a VIP section- recommended by the cab driver). The water is gorgeous and there are free beach chairs. There is food and alcohol available and water toys to rent. My hubs and son rented a jet ski. We got tacos and nachos delivered along with some drinks. There is also a VIP section that charges $50/person for unlimited alcohol and use of a pool and water toys- we chose the free (pay as you go) because we had kids with us and could not possibly drink that much alcohol. In all we spent $45 and had a really good day. Then we took another cab ride (this time $25) back to port. Upon boarding the ship this time there was a huge greeting line with music and cold towels- the kids loved it (even the ASD).