If you want traditional jerk cooked on pimento wood, here is a great spot to stop. This is approximately 30 minutes from the resort, located between the MBJ airport and the resort.
The Falmouth Craft Market is near the Falmouth cruise ship port and the historic downtown of Falmouth. This is a place to find souvenirs off the resort property. This is approximately a ten-minute taxi ride from the resort and can be coordinated with the resort's concierge.