Crush graham crackers, combine with melted butter and sugar. Press into a 9×13 inch pan and bake at 350°F (175°C) for 8-10 minutes.
Sauté diced apples with butter, brown sugar, cinnamon, and lemon juice until softened and caramelized.
Beat softened cream cheese with sugar until smooth. Add eggs, vanilla, and sour cream.
Pour cheesecake filling over the crust, swirl in apple filling. Bake at 325°F (160°C) for 30-35 minutes. Cool in oven for 1 hour, then at room temperature.
Cover and chill in the refrigerator for at least 4 hours, or preferably overnight.
Melt caramels with heavy cream in the microwave.
Drizzle caramel over chilled bars. Slice and serve.