Resorts with convention centers are: Grand Floridian, Yacht Club/Beach Club/Beach Club Villas, Boardwalk Inn/Boardwalk Villas, Contemporary/Bay Lake Tower, and Coronado Springs.
No, but they'll deliver to Bell Services, not your room. There's a sticky on the Resort forum with everything you need to know about shipping to resorts.
How many in the case? Also, does anyone know/remember the cost of juice at the resort convenience store (ASM in my case)? My grandkids drink juice, not soda, so the mugs would not work for them and the cost of juice 3 times a day at restaurants/food courts would quickly add up on a week long trip. I am just trying to decide on onsite store vs. Garden Grocer