Prep the burgers. Divide the beef into four equal sections and use your hands to gently shape each section into a ball. Use the palm of your hand to press each ball into a burger shape. It doesn’t have to be perfectly round. Press your thumb into the center of each burger to prevent doming. Season. Mix together the salt, pepper, and garlic powder in a small bowl. Sprinkle both sides of the burgers with the seasoning mixture.
Fry the burgers. Heat a cast iron skillet over medium high heat and add just enough vegetable oil to coat. When the oil shimmers, place the patties in the skillet. Fry about 3 minutes, flip, then fry an additional 2-3 minutes or until internal temperature reaches desired doneness (see temp chart below). Place a slice of muenster on the burgers for the last minute and cover with a lid or sheet pan to allow it to melt. Remove the burgers to a plate and loosely tent with foil.
Meanwhile, prepare the English muffins. Toast the English muffins to desired doneness, then butter them.
Make the eggs. Heat another skillet over medium heat and melt the butter. Add the eggs. Cook for about 2-3 minutes, or until the white is mostly cooked through. Carefully flip and turn off the heat. Allow to sit in the pan for 30-45 seconds, then remove to a plate. (This will result in an over easy egg, with a lot of runny egg yolk. If you want a hard egg, cook for an additional 2 minutes). Season with salt and pepper.
Assemble the burgers. To assemble, layer the bottom half of the English muffins with the lettuce then top with a burger patty. Top with the bacon jam followed by the fried egg. Sandwich with the English muffin. Enjoy!