Chicken With Schmaltzy Red Pepper Vinaigrette

Name: Chicken With Schmaltzy Red Pepper Vinaigrette
Ingredients: 2 skin-on, bone-in chicken breasts; 1 tsp. freshly ground black pepper; 1½ tsp. Diamond Crystal or ¾ tsp. Morton kosher salt, divided; 2 Tbsp. extra-virgin olive oil; 2 medium red bell peppers, ribs and seeds removed, cut into irregular 1½ pieces; 4 garlic cloves, coarsely chopped; 1 medium shallot, finely chopped; ½ cup low-sodium chicken broth; ¼ cup finely chopped pickled hot cherry peppers (such as B&G), plus ¼ cup brine; 1 tsp. honey; Parsley leaves with tender stems (for serving)