To Make Crust:Melt butter or margarine in a small saucepan.Stir in graham cracker crumbs, 3 tablespoons brown sugar, and 1/3 cup chopped nuts.Pack into ungreased 9 or 9 1/2 inch springform pan.
To Make Filling:Beat cream cheese and 1 1/4 cups brown sugar together until smooth and fluffy.Slowly beat in eggs one at a time, just until blended.Stir in 1 teaspoon rum flavoring, 1 teaspoon vanilla, 1/4 cup sour cream, and 1/3 cup chopped nuts.Pour filling intopan.
Bake at 350 degrees F (175 degrees C) for about 55 to 60 minutes, until set.Remove pan to cake rack while you prepare topping.
To Make Topping:Stir together 1 1/2 cups sour cream, 1/4 cup brown sugar, maple flavoring, and 1/2 teaspoon rum flavoring.Spread over cheesecake.Return to oven, and bake for 10 minutes.Loosen sides of cake.Cool until almost room temperature, then chill for a few hours before serving.
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