Make Pineapple Filling: Cook pineapple, brown sugar, and juice until syrupy, then thicken with cornstarch slurry. Cool completely.
Prepare Crust: Preheat oven to 350°F, mix graham crumbs with melted butter, press into a springform pan, and bake for 10 minutes.
Make Cheesecake Filling: Beat cream cheese and sugar, add eggs one at a time, then mix in vanilla, sour cream, and optional rum.
Set Up Water Bath: Boil water and place the springform pan inside a 10-inch pan, then both inside a roasting pan.
Assemble Cheesecake: Layer half the cheesecake batter, pineapple filling, and remaining batter in the crust.
Bake Cheesecake: Bake in the water bath for 1 hour 25 minutes to 1 hour 45 minutes, then cool in the oven for 1 hour.
Chill Cheesecake: Refrigerate for at least 6 hours or overnight.
Make Stabilized Whipped Cream: Beat cream with sugar and vanilla, adding liquified gelatin until stiff peaks form.
Serve: Top cheesecake with pineapple, pipe whipped cream, garnish with cherries, and enjoy!