Make cucumber water: Place cucumber slices in a pitcher with water. Refrigerate to infuse. Serve over ice if desired.
Prepare rice pilaf: Heat butter and olive oil in a saucepan over medium heat. Add minced onion and sauté until translucent. Stir in garlic and cook for 30 seconds. Add rinsed rice and chicken broth. Cook according to package directions until rice is tender. Season with salt and pepper to taste.
Marinate the chicken: In a bowl, combine olive oil, lemon juice, garlic powder, oregano, and chicken. Season with salt and black pepper. Toss to coat evenly.
Make Arakas Latheros: Heat olive oil in a medium pot over medium heat. Sauté onion until soft. Add green peas and stir to coat. Add water and tomato paste. Cover and simmer until most of the water evaporates. Stir in dill and season with salt and black pepper.
Cook the kabob: Thread marinated chicken, onion, zucchini, and bell pepper onto skewers. Grill or cook in a pan over medium heat until chicken reaches an internal temperature of 165°F (74°C).
Serve: Serve the chicken kabob with rice pilaf, arakas latheros, melon slices, baklava, and cucumber water.