Pulled Pork Barbecue

INGREDIENTS

• Pickle spears, for serving
• 1 (5 to 7 pound) pork roast, preferably shoulder or Boston butt
• 2 garlic cloves, smashed
• 1 cup yellow or brown mustard
• 3 tablespoons coarse sea salt
• 1 teaspoon cayenne
• 1 1/2 cups cider vinegar
• 1 tablespoon garlic powder
• 1 tablespoon brown sugar
• 1/2 cup ketchup
• 3 tablespoons paprika
• 1 tablespoon dry mustard
• 12 hamburger buns
• Pan drippings from the pork
• 1 teaspoon kosher salt
• 1/3 cup packed brown sugar
• 1 recipe Cole Slaw, recipe follows
• 1/2 teaspoon freshly ground black pepper