1Set oven control to broil. Brush both sides of chicken with 1 tablespoon of the dressing; sprinkle with pepper.
2Place chicken on rack in broiler pan. Broil 4 to 6 inches from heat 12 to 15 minutes, turning once, until juice of chicken is clear when center of thickest part is cut (170°F). Cool about 5 minutes. Cut into thin slices.
3In medium bowl, toss lettuce, carrot and cheese with remaining dressing until coated. Fill each pita bread half with tomato and chicken; top with lettuce mixture.