PREHEAT grill to medium heat. Brush vegetables and chicken with 1/4 cup dressing; place on grate of grill.
GRILL 6 to 8 min. or until vegetables are crisp-tender, turning and brushing occasionally with some of the remaining dressing. Transfer vegetables to serving plate. Grill chicken an additional 3 to 4 min. or until cooked through (165ºF).
MIX rice and parsley. Serve with the chicken and vegetables.