For dressing, stir together basil, pectin, mustard, garlic, sugar, and pepper in a small bowl. Stir in water and vinegar. Cover and chill for 30 minutes.
Meanwhile, cook tortellini or ravioli according to package directions, except omit any oil or salt. Add the broccoli and carrots during the last 3 minutes of cooking. Drain. Rinse with cold running water; drain again.
Combine the pasta mixture and scallions in a large bowl; drizzle with dressing. Toss to coat. Cover and chill for 2 to 24 hours.
To serve, gently stir tomato and pea pods into salad. Line 4 salad plates with lettuce leaves. Top with pasta mixture.