Heat a large skillet over medium heat. Sauté chorizo until fat is rendered, about 5 minutes. Let drain on a paper towel.
Season chicken with salt and pepper. Cook, stirring occasionally, until evenly browned, about 5 to 7 minutes.
Remove chicken, and add onion, red pepper, and garlic, and cook until tender, about 7 minutes. Stir in rice, and cook 2 minutes. Add broth, paprika, thyme, bay leaf, reserved chorizo and chicken, and additional salt and pepper to taste.
Bring to a low boil, then reduce heat to a low simmer. Cover, and let cook 10 minutes. Stir in peas, shrimp, and lemon juice. If the rice is looking dry, add ¼ cup water. Increase heat, cover, and let cook about 5 minutes. Sprinkle with green onions, and serve.