Combine the ingredients for the glaze into a bowl. Mix well, cover and store in the refrigerator.
Arrange the chicken, skin side up, on the grate. Broil for 10-12 minutes. Spritz-baste the chicken. Broil for another 10-12. Spritze-baste again. Turn the chicken over and broil for another 10-12 minutes. Spritze-baste again. Broil for 10-12 minutes. Remove the pan from the oven. Move the rack up one position. Turn the chicken over, spritze-baste and season to taste with salt and black pepper. Return the pan to the oven. Broil until the skin bubbles. Pull the grate in the oven slightly out. Slather the honey-mustard glaze over the entire surface of chicken. Return the chicken to broiling - until the glaze slightly caramelizes. Remove the chicken to a serving platter, and allow it to rest for 10 minutes. Hack it into 8-10 pieces. Serve the remaining glaze on the side.