Heat a tablespoon of butter in a skillet and add in the lobster and Old Bay seasoning. Cook for 3-4 minutes.
Melt 4 tablespoons of butter, then add flour and mix. Once thick, add milk and heavy cream and stir.
Add half of the shredded cheese and stir until the cheese is melted. Add seasonings to taste.
Return the pasta to the large pot. Drizzle the cheese sauce over the pasta then add in the cooked lobster and the butter sauce the lobster was cooked in.
Layer pasta into a 9x13 baking dish, then add a layer of shredded cheese.
Add another layer of pasta and another layer of cheese.
Bake for 25-45 minutes until the cheese has melted and is bubbly.