Tomato and Corn Pie

Name: Tomato and Corn Pie
Ingredients: 2 cups all-purpose flour; 1 tablespoon baking powder; 1 3/4 teaspoons salt, divided; 3/4 stick cold unsalted butter, cut into 1/2-inch cubes, plus 2 teaspoons melted; 3/4 cup whole milk; 1/3 cup mayonnaise; 2 tablespoons fresh lemon juice; 1 3/4 pounds beefsteak tomatoes, peeled and sliced crosswise 1/4 inch thick, divided; 1 1/2 cups corn (from about 3 ears), coarsely puréed in a food processor, divided; 2 tablespoons finely chopped basil, divided; 1 tablespoon finely chopped chives, divided; 1/4 teaspoon black pepper, divided; 7 ounces coarsely grated sharp Cheddar (1 3/4 cups), divided; Equipment: a 9-inch glass pie plate