Combine the chicken with 6 cups of water, the garlic, the whole carrots, the celery, bay leaf and onion in a 6-quart stock pot. Simmer for 30 minutes to create stock. Remove the chicken, leaving behind the wing tips and the spine. Continue cooking the stock for 30 more minutes over low heat. Meanwhile, shred the chicken.
Rinse the rice in a colander until the water runs clear, and then let it dry for 5 minutes. Heat the olive oil in a medium wide-bottom pot over medium heat. Add the curry powder and cumin, and toast for 30 seconds. Add the rice and cook until lightly toasted, 2 minutes. Add the shredded chicken, peas, diced carrots, and 4 cups of the chicken stock, and season with salt and black pepper. Cook uncovered for 5 minutes over medium heat, and then cover and cook for about 25 more minutes. Turn off the heat and let the rice rest for 10 minutes, covered. Fluff with a fork and serve.