Pulled Pork Sandwiches

INGREDIENTS

• 2 tablespoons fresh lemon juice
• 1/4 cup packed light brown sugar
• Kosher salt and coarsely ground pepper
• 1/2 cup apple cider vinegar
• 6 tablespoons paprika
• 2 cups ketchup
• Freshly ground pepper
• 12 soft hamburger buns, split
• Coleslaw, for serving
• Scant tablespoon onion powder
• 1/4 cup granulated sugar
• 2 tablespoons light corn syrup
• 1 1/2 teaspoons dry mustard
• 3 tablespoons granulated sugar
• 2 tablespoons Worcestershire sauce
• 1 10-to-12-pound boneless pork shoulder or Boston butt, rinsed and dried
• 1 1/2 teaspoons onion powder