Prepare the salsa by combining all ingredients in a bowl and stirring well. Cover and chill until ready to use.
Slice chicken breasts into strips (or chop into bite-sized pieces) and place in a bowl. Sprinkle chicken with half of the Caribbean seasoning, stir, then sprinkle with remaining seasoning and toss to coat.
Cook chicken in a large greased pan or skillet over medium heat for 5-8 minutes until cooked through.
To serve, fill each tortilla with cooked chicken, then top with cole slaw and Caribbean salsa. Serve immediately with fresh limes for drizzling if desired.