Using kitchen shears, carefully cut through the lobster shell and gently separate the meat, leaving the small tail fin attached. Remove the digestive tract, if present. Butterfly the thickest portion of the lobster meat lengthwise without cutting all the way through, then open it like a book.
Place each lobster tail between two sheets of plastic wrap or inside a large zip-top bag. Using the smooth side of a meat mallet, gently pound the lobster until flattened into an even cutlet, approximately ½ inch thick. Take care not to tear the delicate meat or detach the tail fin. Repeat with the remaining lobster tails and pat dry with paper towels.
Prepare three shallow bowls for breading. In the first, combine the flour, ½ teaspoon kosher salt, black pepper, garlic powder, and smoked paprika. In the second, whisk together the eggs and water until smooth. In the third, combine the panko breadcrumbs, Parmesan cheese, Italian seasoning, and remaining ½ teaspoon kosher salt.
Working with one lobster cutlet at a time, dredge the meat in the seasoned flour, shaking off any excess. Dip into the egg wash, allowing the excess to drip off, then press firmly into the seasoned panko breadcrumbs until evenly coated on both sides. Keep the tail fin exposed. Transfer to a wire rack and repeat with the remaining lobster.
Refrigerate the breaded lobster cutlets for approximately 10 minutes to help the coating adhere while you prepare the pasta.