Preheat the oven to 325°F (163°C). Grease the bottom of the springform pan with cooking spray and line it with parchment paper.
In a mixing bowl, combine the graham cracker crumbs and melted butter. Mix until well combined.
Press the crumb mixture firmly into the bottom of the prepared springform pan. Bake for about 10 minutes, then remove from the oven and let cool.
In a larger mixing bowl, use an electric mixer to beat the cream cheese and sugar together until smooth and creamy.
Add the peanut butter, vanilla extract, and sour cream to the mixture, and continue mixing until fully incorporated.
Add the eggs one at a time, mixing well after each addition.
Pour the cheesecake mixture into the cooled crust and spread evenly.
Drop spoonfuls of grape jelly on top of the cheesecake batter. Use a toothpick or knife to swirl the jelly into the mixture lightly.
Bake the cheesecake in the preheated oven for 50-60 minutes, or until the center is set but still slightly jiggly.
Turn off the oven and leave the cheesecake inside with the door slightly ajar for 1 hour to cool slowly.
Remove the cheesecake from the oven and refrigerate for at least 4 hours, preferably overnight, before serving.
Before serving, garnish with chopped peanuts if desired.