Preheat oven to 350 degrees.Spray a 9 x 13 inch pan with non-stick spray and set aside.Heat butter in a skillet over medium heat. Add brown sugar, cinnamon and apples. Cook apples until they are slightly soft and caramelized.In a bowl, whisk together the eggs, milk, brown sugar, vanilla and rum. Add cinnamon apples and three-quarters of the cubed bread, stirring to coat. Arrange mixture in the bottom of the prepared baking pan. Allow bread to rest for 15-20 minutes.Arrange remaining bread cubes over the top. Drizzle melted butter over the top following by the tablespoon of sugar.Bake for 40-50 minutes or until golden. Edges should pull slightly away from pan.To prepare the caramel sauce, place butter, cream, sugar and salt in a saucepan over medium heat. Whisk until butter has melted and sugar dissolves. Simmer the sauce and continue to whisk for another 8-10 minutes or until sauce has thickened. Remove from heat and whisk in rum. 1-2 teaspoons of rum extract may be used in place of the alcohol.With the exception of the rum, I used Private Selection and Kroger Brand products to create this recipe