Heat oven to 450° F. On a rimmed baking sheet, toss the shrimp with ¾ teaspoon each salt and pepper and 1 tablespoon of the olive oil. Roast until bright pink and cooked through, 15 minutes.
Meanwhile, heat the remaining 3 tablespoons olive oil in a large skillet over medium-high heat. Add the onion and ginger and cook for 2 minutes.
Add the rice and cook, stirring occasionally, until it begins to brown and crisp, 6 to 8 minutes.
Stir in the peas and chorizo (if using) and cook for 2 minutes. Reduce heat to medium.
Make a space in the center of the rice and pour in the eggs, sesame oil, soy sauce, and scallions.
Scramble the eggs until set, then stir them into the rice. Divide among bowls and serve with the shrimp.