Mix Marinade Mix, lime juice, oil and honey in small bowl. Place chicken in large resealable plastic bag or glass dish. Add marinade; turn to coat well.
Refrigerate 30 minutes or longer for extra flavor. Remove chicken from marinade. Discard any remaining marinade.
Grill chicken parts over medium heat with lid closed 30 to 40 minutes or until cooked through, turning occasionally. Grill boneless chicken breasts over medium-high heat 5 to 7 minutes per side or until cooked through.