For the salad, combine romaine, tomatoes, cucumber, olives, and green pepper in a large bowl
For the dressing, in a small bowl, whisk together the vinegar, lemon juice, honey, garlic, dill, oregano, and salt and pepper. Stream in the olive oil and whisk until combined. Stir in feta. Pour dressing over the salad.
For the tzatziki, combine all ingredients together in a food processor and pulse until smooth.
Assemble by placing salad, grilled chicken (if using), tzatziki, and extra feta onto warmed pita bread.