Make the 3 sauces first to allow them to sit for 30 minutes before serving. Arrange seafood over ice on a 3-tiered platter. Serve immediately with 3 sauces.
Black Pepper Mignonette:
Whisk all ingredients together in a small bowl. Let sit for 30 minutes before serving.
Red Chile Cocktail Sauce:
Whisk together all ingredients in a small bowl. Let sit for at least 30 minutes before serving.
Creamy Mustard Sauce:
Whisk together all ingredients in a small bowl. Cover and refrigerate for at least 30 minutes before serving.