Use a sharp knife to poke slices into the pork on all sides.  Rub the pork on all sides with the oil.  Place in a large bowl.  Set aside.

In a small bowl, stir together the salt, pepper, cumin, oregano, and red pepper flakes.  Rub the spice mixture into the pieces of pork, massaging it into the meat.

Place the pork into a large slow cooker.

Add the garlic, orange juice, lime juice, zest, and bay leaves to the slow cooker.

Cook the pork on low for 6-7 hours until very tender.

Use a slotted spoon to remove the pork to a bowl and shred with two forks.  Set aside.

In a small glass measuring cup, melt the butter. Stir in the garlic powder. 

Cut each section of bread horizontally.  Slather the garlic butter onto the outside crust on both the top and bottoms of the bread.

To assemble the sandwich:  

For each sandwich:

Spread mustard on the bottom half of the bread. Layer 2 slices of Swiss cheese, 3 slices of ham, 4 slices salami, pulled pork, 2 pickle slices, and 2 more layers of Swiss cheese.

Spread mustard on the top half of the bread and place on top of the sandwich.

Place the sandwich on a panini press or onto a hot griddle.  Press the sandwich as much as possible.  If using a griddle, press the sandwich using a grill press, a pan lid, or another pan to press the sandwich.

Cook until the cheese has melted and the bread is golden and crusty.

Slice each sandwich in half and serve hot.