The local grocery store is located in the center of Holetown and is open from 8am - 8pm weeks days and then 8am - 4pm Sat / 9am - 2pm Sun. You will see the "West Coast mall" on t his link below + the medical center (I hope you don't need this but just in case) it is open 24+7.
No but there is a 42" HD flat screen TV with DVD player. The DVD player is Region 1 (United States,Canada,Bermuda,U.S. territories ). There is a DVD rental store in Holetown in you need to use it. The TV also have sockets allowing use (With correct cable ) to play moved from Iphone / Ipad or PC.