Apple Pie Cookies

Name: Apple Pie Cookies
Cuisine: American
Ingredients: 3 apples (about 1 lbs.) peeled and sliced into 8 slices each; 1-2 tablespoon lemon juice; 3 tablespoon white sugar; 3 tablespoon brown sugar; 3 tablespoon corn starch; ½ teaspoon cinnamon; a dash of nutmeg; ¾ cup water; 1 cup (2 sticks) unsalted butter cut into cubes-chilled (crust); 2½ cups all-purpose flour (crust); 1 teaspoon salt (crust); 1 teaspoon sugar (crust); ¼ cup ice water (crust); 1¾ cup apple pie filling-chopped into small pieces (topping); 1 cup caramel sauce (topping); 1 egg -lightly beaten (topping); 1 tsp cinnamon (topping); ¼ cup sugar (topping)