Preheat the oven to 350°F (175°C).
In a medium bowl, mix chocolate cookie crumbs, 3 tablespoons sugar, and melted butter. Press into the bottom of a 9-inch springform pan.
In a large bowl, beat cream cheese and ½ cup sugar until smooth. Add eggs one at a time, mixing well after each addition. Stir in vanilla. Pour over crust.
Bake for 40 to 50 minutes or until the center is set. Remove from oven and cool for 10 minutes.
In a saucepan over low heat, melt caramel candies with evaporated milk, stirring frequently until smooth. Pour over the cheesecake.
Sprinkle chopped pecans on top.
In a microwave-safe bowl, melt chocolate chips with shortening, stir until smooth. Drizzle over cheesecake.
Refrigerate for at least 4 hours before serving.