Bring a pot of salted water to a boil. Cook the orzo according to the package directions until it is al dente, usually 8-10 minutes. Drain and rinse under cold water to stop the cooking.
Whisk together olive oil, red wine vinegar, lemon juice, garlic, oregano, salt, and pepper in a small bowl or jar.
In a large bowl, combine the cooled orzo with tomatoes, cucumber, onion, olives, chickpeas, bell pepper, and feta.
Pour the dressing over the salad and toss well. Stir in fresh herbs. Taste and adjust seasoning. Best to let it sit for 30 minutes before serving to allow flavors to meld.