Combine 1/4 cup jerk sauce and next 5 ingredients (1/4 cup jerk sauce through garlic) in a large zip-top plastic bag. Add chicken to bag; seal. Marinate in refrigerator overnight, turning occasionally. Remove chicken from bag; discard marinade.
Prepare grill to medium-high heat.
Combine 1/4 cup jerk sauce, beer, ketchup, and hot sauce.
Place chicken on grill rack coated with cooking spray; grill 20 minutes or until done, turning and basting frequently with beer mixture. Garnish chicken with green onions, if desired.