FOR THE CUPCAKES: – 4 large egg – 2 cups sugar – 1 cup vegetable oil – 2 cups all-purpose flour – 1 teaspoon baking soda – 1 teaspoon baking powder – 2 teaspoons ground cinnamon – 1 teaspoon ground allspice – 1/2 teaspoon salt – 3 cups lightly packed grated carrot FOR THE FROSTING: – 2 (8-oz.) packages cream cheese, at room temp – 1 cup unsalted butter, at room temp – 1 Tablespoon vanilla extract – 4 cups confectioners’ sugar – Orange candy melt – Green candy melt