To prepare jerk chicken, combine first 3 ingredients in a large bowl. Add chicken to jerk mixture, turning to coat. Marinate in refrigerator at least 2 hours.
While chicken marinates, preheat grill.
To prepare pineapple-mango salsa, grill pineapple rings 2 minutes on each side. Cut pineapple into 1/2 inch cubes. Combine pineapple, mango, onion, cilantro and juice of 2 limes. Add salt and pepper to taste. Refrigerate.
Place beans in a small saucepan over medium heat. Cook for 5 minutes, lightly mashing beans with a wooden spoon. Keep warm.
Remove chicken from marinade and discard marinade. Grill chicken until done, about 4-6 minutes on each side. Slice chicken into strips and set aside.
Heat tortillas on the grill or directly over a gas flame, flipping as they begin to bubble. Place tortillas on a flat work surface and smear evenly with mashed beans. Top evenly with chicken. Top each taco with 2 tablespoons salsa. Serve with lime wedges and remaining salsa. Enjoy!