Combine Cuban Spice, cracked black pepper and minced garlic. Rub onto surface of pork roast. Place roast in a covered baking dish. Add water to bottom of pan. Bake at 35°0F for 1 hour, 15 minutes or until roast is cooked through. Remove from oven and allow to cool slightly. Using 2 forks, shred pork roast. Stir shredded pork into pan juices.
To assemble sandwiches: Spread mustard on rolls, top with spiced pork, sliced ham, dill pickles and Swiss cheese. Press sandwiches together lightly.
Heat large skillet. Add several sandwiches; top with another heavy pan to press sandwiches down. Cook 3 to 4 minutes, until roll is toasted. Flip and cook an additional 2 to 3 minutes until roll is toasted and cheese has melted. Serve immediately or hold in a warm oven.