Cook pasta according to package directions, omitting salt and oil.
Add shrimp and peas during last 2 minutes of cooking.
Drain and rinse, pasta, shrimp, and peas with cold water, drain.
Combine pasta mixture with cucumbers and tomatoes in a large bowl.
In a small bowl combine mayonnaise and remaining ingredients.
Mix well and pour over pasta mixture.
Serve at room temperature or cover and chill to serve cold.