Preheat oven to 400 degrees Fahrenheit. Line baking pan with aluminum foil and coat with cooking spray.
Combine ketchup, sugar, vinegar, soy sauce, Pickapeppa sauce, jerk seasoning and salt in a small saucepan.
Heat over medium high heat until bubbling. Lower heat to medium low and simmer for 15 minutes. Take ¼ to ⅓ cup of the sauce and use to baste, and save the remaining sauce to serve on the side or for later use.
Season chicken drumsticks with salt and pepper and arrange on baking pan.
Brush chicken liberally on top with the sauce and bake for 30 minutes.
Turn over all chicken pieces and brush the tops with more sauce. Bake for 30 more minutes.
Serve chicken with peach salsa and rice with beans.
Notes
Pickapeppa sauce and jerk seasoning are available at grocery stores and online. There are copycat recipes online if you'd like to try and make your own.