Place pork in a roasting dish. Pat the rub seasoning into pork to cover. (Reserve any remaining rub in a container fitted with lid for up to 6 months.) Cover with plastic wrap and refrigerate to marinate for 1 hour.
Preheat oven to 325 degrees F.
Place roast pork into oven and cook for 1 1/2 hours. When cooked, tent roast with foil so juices will settle. Slice thin.
Preheat your panini press.
In a small bowl mix the butter and the garlic. Butter the sandwich bread.
Divide the pork, pickles, cheese and barbecue sauce evenly between the bread.
Place the sandwiches in the panini press and close the lid. Grill the sandwich until the bread is toasty and the cheese is melted. Slice on a diagonal and serve warm.