Place beans in a large Dutch oven; add water to depth of 2 inches above beans. Bring to a boil. Boil 1 minute; cover, remove from heat, and let stand 1 hour.
Drain.
Cook bacon in Dutch oven over medium heat, stirring often, 8 to 10 minutes or until crisp.
Remove bacon, and drain on paper towels; reserve drippings in Dutch oven.
Add onion, 3 garlic cloves, and red bell pepper to hot drippings; cook, stirring often, 10 minutes or until tender.
Add broth, next 3 ingredients, and beans; bring to a boil over medium-high heat. Reduce heat to medium-low. Simmer, stirring occasionally, 2 hours or until beans are tender.
Pour vegetable oil to depth of 1 inch in a 10-inch cast-iron skillet; heat to 34
Fry plantain 2 to 3 minutes or until golden.
Drain on paper towels.
Prepare Mojo: Stir together 2 garlic cloves and next 3 ingredients.
Heat 1/2 cup olive oil in a small skillet over medium heat 2 to 3 minutes; whisk into juice mixture.
Add salt and pepper to taste.
Prepare Sofrito: Pulse 7 garlic cloves and next 3 ingredients in a food processor until finely chopped. Saut garlic mixture in 1 Tbsp. hot olive oil in a medium saucepan over medium-high heat 5 to 7 minutes.
Add paprika and next 3 ingredients; saut 1 minute.
Spoon desired amount hot cooked rice onto individual serving plates. Top each with 1 cup black bean mixture and 1 Tbsp. Sofrito.