Yes there are restaurants nearby like a Tropical Smoothie but it's best to ask the front desk for brochures as there was an awesome Chinese food restaurant... really cheap!
There are a number of nice restaurants within 2-3 blocks of the hotel
Domino's kiddy corner
I walked to a few good restaurants some open late. Ask the bar tender for some suggestions that meet your taste.
Yes, what Joe said.
Yes several within a short walk or the hotel shuttle can get you somewhere downtown
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