Pumpernickel Pastrami Panini with Rosemary-Ale Jus

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5 tablespoons unsalted butter, divided

1 3/4 cups beef broth

3/4 cup dark beer

1 1/2 teaspoons minced garlic

1 1/2 teaspoons minced fresh rosemary leaves

1/2 teaspoon onion powder

1/2 teaspoon freshly ground black pepper, divided

2 1/2 cups thinly sliced yellow onion

1 1/2 cups thinly sliced apple

1/2 teaspoon salt

12 ounces shaved pastrami

8 slices pumpernickel bread

4 ounces thinly sliced sharp white Cheddar