You will have no problem if you bring on the plane with your checked in bags. I am not sure how you would take this in carry on.
There are two very good grocery stores within 1/3 of mile from the Divi dutch Village, Kong Hing and Ling and Sons. They will likely have everything you need. Also Dunkin Donuts on the island if that is your coffee choice.
Lings web site has just a sample of what they carry and they carry much more than is here. You can order on line and have delivery to your room for when you arrive, just check delivery times.
http://www.lingandsons.com/ling/home.do