Yes! Yes! And Yes! You even have a prostate gland too...
Yes, you no longer need Iodine to create thyroid hormones but the rest of your body needs it. It is very necessary for breasts and prostate (second largest storage sites after the thyroid). It is also used by the adrenal glands, paritoid glands, mucosal lining of the intestines, uterus, ovaries and many more. It is a necessary nutrient in maintaining healthy cell life cycles.