Chop the lobster meat and scallions, mince the garlic, grate the ginger, and whisk the eggs in a small bowl.
Heat 1 tablespoon of neutral oil in a large skillet or wok over medium-high heat.
Pour the beaten eggs into the hot pan and scramble until just set. Remove from the skillet and set aside.
Add the remaining tablespoon of oil. Sauté the onion, garlic, and ginger for 1–2 minutes until fragrant.
Stir in the peas and carrots, cooking for 2 minutes. Toss in the scallions.
Add the chilled rice to the skillet. Break up any clumps and toss to coat with the aromatics and vegetables. Cook for 3–4 minutes.
Add the soy sauce, oyster sauce, sesame oil, fish sauce (if using), chili garlic sauce, brown sugar, and white pepper. Stir well to evenly distribute the sauces.
Push the rice to the sides of the pan and melt 2 tablespoons of butter in the center. Add the lobster meat and toss in the butter for 1–2 minutes to enhance its flavor.
Add the scrambled eggs back to the skillet and gently fold everything together. Cook for another 2–3 minutes until the rice is heated through and coated in the sauce.
Turn off the heat and swirl 1 tablespoon of butter into the fried rice for extra richness.
Garnish with extra scallions and serve hot with lemon wedges on the side.