Pre-heat the oven to 400°F with the rack in the middle
Rub chicken pieces down with oil, separating the skin from the meat but leave the skin intact. Season them with salt and pepper, rubbing under the skin and on top of the pieces
Put the chopped raw tomatoes, rice, pine nuts, 3/4 tsp kosher salt, and 1/4 tsp cracked pepper into the baking dish and stir together gently
Heat 2 tbsp oil in a large skilled over medium-high heat until shimmering. Saute the onions until soft and translucent, about 5 minutes
Add the garlic and tomato paste and saute for another minute, then add the onion/garlic/tomato mixture from the pan to the baking dish. Add most of the chopped basil, reserving some for garnish
Stir up the rice mixture until well combined, then spread it out and press it flat
If using shrimp, press them into the rice evenly across the top
Place the chicken pieces skin-up on top of the shrimp/rice mixture, then gently pour in the broth
Cover the dish pan tightly with aluminum foil and roast for 40 minutes, then remove the foil
Continue roasting for an additional 30-40 minutes until the chicken is cooked through
Garnish with remaining chopped fresh basil