Sprinkle chicken pieces evenly with salt and 18 turns of pepper. Pat in seasoning with your hands. Heat oil in a large deep saucepan over high heat. Add chicken and sear until brown on all sides, about 4 minutes. Add onions, bell peppers, celery, garlic, sausage and rice and stir-fry 2 minutes. Stir in tomatoes, Worcestershire, hot sauce, bay leaves, Creole seasoning and saffron and simmer 1 minute. Add stock, stir well and bring to a boil. Cover and cook 4 minutes.
Add lobster, tucking pieces into rice, cover and cook 4 minutes. Add clams, cover and cook 4 minutes. Add mussels and shrimp, cover and cook until rice is tender and shellfish are opened, about 3 minutes. Discard any mussels or clams that have not opened.
Remove bay leaves and serve in large shallow bowls. Place empty bowls on table for shells.