1. Place chicken in a medium saucepan; add water to cover. Bring to a boil; reduce heat to medium, and cook, uncovered, 15 minutes or until done. Drain; cool chicken slightly. Cut chicken into bite-size pieces.
2. Combine chicken and pasta in a large bowl; add broccoli and next 3 ingredients, tossing gently. Combine vinegar and remaining 7 ingredients in a jar; cover tightly, and shake vigorously. Pour dressing mixture over chicken mixture; toss gently. Cover and chill 2 hours.