Baccala Carpaccio with Herb Salad

Name: Baccala Carpaccio with Herb Salad
Ingredients: 1 piece dried salt cod, soaked for 48 hours in 3 to 4 changes of water; 1 bunch thyme, leaves only; 1 bunch parsley, leaves only; 1 bunch marjoram, leaves only; 1 bunch oregano, leaves only; 1/2 cup oven-roasted tomatoes, recipe follows, cut into chunks; 3 tablespoons extra virgin olive oil, plus more for drizzling; 1 tablespoon freshly squeezed lemon juice; Salt and pepper, to taste; 4 tablespoons real balsamic vinegar; 12 plum tomatoes, cut in half; 1/4 cup extra virgin olive oil; 4 tablespoons salt; 2 tablespoons freshly ground pepper