Cook the rice noodles according to package instructions. Drain and set aside.
Heat the vegetable oil in a large skillet or wok over medium heat. Add garlic and onion, and cook until fragrant, about 1 minute.
Add the carrot and cook for 2-3 minutes until slightly softened.
In a small bowl, combine the fish sauce, tamarind paste, and brown sugar. Stir until well mixed.
Add the sauce mixture to the skillet, and then add the cooked rice noodles. Toss to coat the noodles evenly.
Push the noodles to one side of the skillet and pour in the beaten eggs. Scramble the eggs, then mix them into the noodles.
Add the bean sprouts, green onions, cilantro, and cooked lobster meat to the skillet. Toss to combine.
Serve the lobster pad thai garnished with crushed peanuts and lime wedges.