Spicy pulled pork

1 pork shoulder or butt roast, about 5-6 lbs;

3 tbsp smoked paprika;

1 tbsp garlic powder;

1 tbsp dry mustard;

3 tsp sea salt;

1 1/2 cups apple cider vinegar;

1/2 cup homemade ketchup;

1 cup Dijon or homemade mustard;

2 garlic cloves, minced;

1 tsp cayenne pepper;

1 tsp sea salt;

1/2 tsp freshly ground black pepper;