Tomato Soup: In a saucepan, heat oil. Sweat onions, ginger, garlic, and green onions until glossy, about 1 to 2 minutes. Add lime leaf and lemongrass. Continue to sweat another minute. Add the tomatoes, and tomato paste, and season with salt, pepper, and sugar. Bring to a boil and lower to a simmer. Cook for 10 minutes. Remove the lime leaf and lemongrass. Transfer to a blender, add butter, and chile oil, and process to a puree. Strain through a chinois and chill over a bowl of ice. Reserve.
To make the Pea Soup: In a saucepan, heat oil. Sweat onions, ginger, garlic, and green onions until glossy, about 1 to 2 minutes. Add Thai basil and coconut milk. Bring to a boil, lower to a simmer, and add peas. Season with salt, pepper, and sugar. Simmer for 5 minutes. Remove Thai basil. Transfer to a blender, add butter, and process to a puree. Strain through a chinois and chill over a bowl of ice.
To prepare the Lobster Salad: In a bowl, combine the lobster meat, mango, and Thai basil. Add 1/4 cup of Asian vinaigrette and season with salt and pepper. Chill until ready to serve.
To serve: Place a 2-inch mold ring in center of soup plate. Spoon the lobster salad inside the ring. Press to mold. Ladle the soups on each side of ring. Decorate soup by placing a spoonful of contrasting soups over plated soups. In a bowl, mix the herbs and micro greens with Asian Vinaigrette. Season with salt and pepper. Top lobster salad with micro green mixture and a slice of fried lotus root. Carefully remove ring. Serve immediately.
In a small bowl, whisk together the vinegar, sesame oil, peanut oil, soy sauce, and lemon juice. Season, to taste, with salt and pepper. Reserve until ready to use.