Combine first 4 ingredients. Place chicken in a large plastic storage bag and cover with marinade. Marinate in the refrigerator 4 to 24 hours.
Preheat barbecue to 400° and place chicken on grill.
Cook over high heat for 5 minutes, with lid open halfway.
Watch closely to make sure it doesn't burn.
Flip chicken, brush with more marinade, and cook a few minutes longer.