Combine 2 tablespoons olive oil and next 6 ingredients (through shrimp) in a large bowl; toss well. Heat a large nonstick skillet over medium-high heat. Add shrimp mixture to pan; sauté 6 minutes or until done. Remove from heat; set aside.

Cook pasta according to package directions, omitting salt and fat. Place pasta in a large bowl; add tomato, basil, and mint.

Combine red wine vinegar, 1 tablespoon olive oil, sugar, and next 5 ingredients (through black pepper) in a small bowl. Pour over pasta mixture, and toss to coat. Place about 1 3/4 cups pasta mixture on each of 6 plates. Top each serving with about 3 ounces shrimp mixture and 2 tablespoons cheese.

Bring a large pot of salted water to a boil. Add the green beans and cook until just tender, 3 to 5 minutes.

Meanwhile, heat the oil in a large skillet over medium heat. Add the garlic and cook, stirring, for 1 minute. Add the pine nuts and cook until golden brown, about 3 minutes. Drain the green beans and transfer to the skillet. Add 1/2 teaspoon salt and 1/4 teaspoon pepper and toss to coat. Transfer to a serving bowl.

Make-Ahead Note: This dish can be partially prepared up to 2 days in advance. Blanch the green beans by boiling until tender. Plunge them into an ice bath to stop the cooking. Drain and refrigerate, covered, until ready to saut? with the garlic and pine nuts. Cook the green beans until heated through.

Heat olive oil in a large Dutch oven over medium-high heat. Add minced garlic; sauté 30 seconds. Add chopped tomatoes; cook for 2 minutes or until thoroughly heated, stirring occasionally. Add pasta, basil, cheese, salt, and pepper, tossing gently to combine.