Shred the meat from the rotisserie chicken, yielding 2 cups. Season with Jamaican jerk seasoning and juice from ½ lime. Toss to coat. Reserve refrigerated.
Combine the tomatoes, pineapple, cilantro, jalapeño, red onion, a squeeze of lime juice, and salt together. Stir to combine. Reserve refrigerated.
To serve, on each tortilla, place ¼ cup of the seasoned chicken, 2 tbsp. of the pineapple salsa, 1 tbsp. cabbage, and 1 tbsp. cheese.