Deviled Eggs with Pickled Shrimp

Name: Deviled Eggs with Pickled Shrimp
Ingredients: 3/4 cup fresh lemon juice; 1/2 cup water; 1/4 cup plus 2 tablespoons white wine vinegar; 1/2 small Spanish onion, chopped; 1 garlic clove, crushed; 1/2 tablespoon pickling spice; 1 small dried red chile; 12 shelled and deveined medium shrimp; 1 dozen large eggs; 1/2 cup mayonnaise; 1 tablespoon whole-grain mustard; 4 cornichons, finely chopped; 2 tablespoons finely chopped dill, plus sprigs for garnish; 1 tablespoon finely chopped chives; Salt; Pepper; Hot sauce, for serving