Thanks for the input, and sorry for the delayed reply. I had no idea anyone had commented.
I have no idea whether iodine is in milk and dairy, but I have been consuming them my entire life. On average I get around 250-500 ml milk, and maybe a teaspoon or two of butter, per day. I also drink whey protein, but whether or not this has iodine in, I have no idea.
Nevertheless, I have been supplementing half (6.5mg) an Iodoral tablet per day, along with eating a small handful of Brazil nuts (for Selenium), and a multi-vitamin and multi-mineral. Not changes (good or bad) to report yet, after two weeks of this protocol. I am considering switching to an entire Iodoral tab (12.5mg) soon.
As for the symptoms you listed... feeling cold is the main reason I'm investigating. I get cold hands and feet (not just fingers and toes), and sometimes they don't even warm up during a hard workout. I do gain fat fairly easily. My profile pic may not suggest this, but it took a lot of hard work to lower my body fat to that point, and I have Coeliac disease to contend with. Eyebrows seem fine, and my energy is generally okay, although chronic bouts of depression have plagued me for years (currently the case unfortunately), so psychologically, I often want to skip a workout, or day for that matter. With that said, I rarely do skip them, as the gym is somewhat of a sanctuary, so it helps.