In a small resealable bag or shallow glass container, combine the first six ingredients. Add chicken; seal bag or cover container. Refrigerate for 1 hour.
Remove chicken from marinade and set marinade aside. Broil the chicken for 12 minutes or until juices run clear, turning once.
Meanwhile, add broth to marinade to measure 2/3 cup. Pour into a small saucepan; bring to a boil. Boil for 5 minutes. Add rice and peas; cover and let stand for 5 minutes. Serve with chicken. Yield: 1 serving.