Season the shrimp. Pat the shrimp very dry with paper towels — moisture is the enemy of a good sear. Toss with 1/4 teaspoon salt and the black pepper and set aside.
Sear the shrimp. Heat 1 tablespoon oil in a large skillet or wok over high heat until shimmering. Add the shrimp in a single layer and cook 1 to 2 minutes per side, until just pink and opaque. Transfer to a plate.
Scramble the eggs. Add another 1/2 tablespoon oil to the pan. Pour in the beaten eggs and scramble quickly, breaking into ribbons. Remove to the plate with the shrimp.
Fry the rice. Add the remaining 1 1/2 tablespoons oil. Add the cold rice, breaking up any clumps with your hands or a spatula. Spread it out and let it fry undisturbed for 1 to 2 minutes to crisp, then stir and repeat for 3 to 4 minutes more.
Add aromatics and veggies. Push the rice to the sides. Add the scallion whites, garlic, and ginger to the center and stir-fry 30 seconds until fragrant. Stir in the peas and carrots and cook for 1 minute more.
Sauce it. In a small bowl, whisk the soy sauce, oyster sauce, sesame oil, sugar, and remaining 1/4 teaspoon salt. Pour over the rice and toss to coat.
Combine. Return the shrimp and eggs to the pan. Toss for 1 to 2 minutes until everything is hot. Shower with scallion greens.
Serve. Dish up immediately, with sriracha or chili crisp on the side for heat lovers.