We travelled with our 9 month old granddaughter and her parents and had no problems. Just be careful when he is in the bath tub that he doesn't try and drink the water in the bath.
We had no problems whatsoever. The hospital opened in 2000 and has 70 beds. A lot of the resorts have on-site medical centres with a doctor and nurse, 24-hours a day.
Brings tons of sun screen for your son. I purchased a special netting that we put over her stroller when we took her for walks that prevented the uv rays from the sun getting through. As well, we have UV protected bathings suits for her as well.
Her Mom brought powdered formula and we used bottled water, supplied by the resort.
Good luck and have a wonderful time!