The Sun is a beautiful ship -- have a great cruise. We went to Alaska in June with our young adult age kids, and they loved it. We were in a BA category balcony, and it did have a coffee maker in the room, along with a small refrigerator. We don't happen to be coffee drinkers, so I didn't use it, but there definitely was one available.
Our kids didn't try the arcade, so I can't help you out with that question. I remember seeing a nice basketball court, and according to my brochure with the deck plan they have a batting cage and golf driving net on the sports deck, along with shuffleboard. I must never had made it to that section of the ship (LOL). For some reason, my memory has failed me about ping pong -- I remember seeing tables on the Sea, but don't remember any on the Sun, but I may have just missed them.
We went to Belize and Roatan on the Sea. Since it was our 1st cruise, we just took shore excursions. On Roatan, we went to Tabyana Beach. Unfortunately, the weather that day was cloudy and windy, so the snorkeling wasn't much fun. We had booked a glass bottom boat ride that was cancelled. Our friends, who have been quite often, love to snorkel here.
In Belize, we went to the ruins at Altun Ha. You may be looking for something more active for your kids, but if they enjoy history they would probably like the ruins.
