Heat 2 tablespoons of sesame oil in a large skillet over medium high heat. Add shrimp to the skillet and cook for a couple of minutes on each side until translucent and opaque. Transfer to a plate.

Heat 1 tablespoon of butter in a large skillet over medium-high heat until melted. Add carrots, onion, and season with a generous pinch of salt and freshly ground black pepper. Saute for about 3 - 4 minutes or until the carrots and onion are soft. Add minced garlic and ginger and saute for 30 seconds until fragrant.

Move the vegetables to one side of the skillet (or set them aside on a plate if your skillet is small), and add an additional 1 tablespoon of butter to the other side of the skillet and stir until melted. Add whisked eggs to the empty side of the skillet and cook until scrambled, stirring occasionally. You don't want to mix the eggs with the vegetables yet, you want them to be fluffy. When eggs are scrambled, you can mix them with the vegetables in the skillet.

Add the last 1 tablespoon of butter to the skillet and stir until melted. Immediately add the chilled rice, cooked shrimp, green peas, soy sauce, sesame oil, and stir until combined. Continue stirring for an additional 3 minutes to fry the rice.

Remove from heat. Add the sliced green onions and stir until combined. Serve warm.