In a medium bowl, mix together cracker crumbs and cheese. Stir half of the cracker mixture into the cooked squash and onions. In a small bowl, mix together eggs and milk, then add to squash mixture. Stir in 1/4 cup melted butter, and season with salt and pepper. Spread into a 9×13 inch baking dish. Sprinkle with remaining cracker mixture, and dot with 2 tablespoons butter.