Preheat oven to 375°.
Remove turkey from brine; discard brine. Pat turkey dry. Starting at neck cavity, loosen skin from breast and drumsticks by inserting fingers, gently pushing between skin and meat. Combine 3 tablespoons butter and next 3 ingredients (through ½ teaspoon pepper) in a small bowl; rub butter mixture under loosened skin and over breast and drumsticks. Lift wing tips up and over back; tuck under turkey. Place apple and next 5 ingredients (through onion) in the body cavity. Secure legs with kitchen twine. Place turkey on the rack of a roasting pan coated with cooking spray. Place neck in bottom of roasting pan; place rack with turkey in pan.
Bake at 375° for 1 hour and 15 minutes. Cover turkey loosely with foil; bake an additional 45 minutes or until a thermometer inserted into thickest part of thigh registers 165°. Remove from oven; place turkey on a cutting board. Let stand, covered, for 20 minutes; discard neck and skin.
To prepare gravy, place a zip-top plastic bag inside a 2-cup glass measure. Pour pan drippings into bag; let stand 10 minutes (fat willrise to the top). Seal bag; carefully snip off one bottom corner of bag.Drain drippings into a small bowl, stopping before fat layer reaches opening; discard fat.
Melt 1 tablespoon butter in a medium saucepan over medium-high heat.Add thyme and shallot; sauté 2 minutes. Add ½ cup cider and bourbon;boil 3 minutes or until liquid is reduced by half. Combine ¼ cup broth and flour, stirring with a whisk. Add flour mixture, remaining 1 cup broth, and drippings to pan; bring to a boil. Reduce heat, and simmer 4 minutes or until thickened. Stir in parsley and vinegar.