Grilled Florida Lobster Salad

Name: Grilled Florida Lobster Salad
Cuisine: American
Ingredients: 3 Florida lobster tails; 3 ears of corn; 1/2 red onion, sliced lengthwise with stem attached; a few slices ciabatta bread (optional); 3 tablespoons high-heat oil; salt and pepper; 8 cups torn butter lettuce or romaine; 1 avocado, thinly sliced; 3 radishes, thinly sliced; 2 cups cherry tomatoes, sliced in half; 2 garlic cloves, minced; 3 tablespoons key lime juice; 1 teaspoon dijon mustard; pinch of salt and pepper; 1/3 cup olive oil