Add Ioderal slowly if you are concerned, but please make sure you are covering you adrenal needs at the same time. If you do nothing for them, you will not get very far.
Regarding the Adrenal and Thyroid things you're taking- they look like they would be safe, imo, but I would likely see a ND or homeopath regarding them (just because I'm paranoid like that). Also, be aware that one of them contains Vitamin A, in case you're taking a Vit A supp and the other contains dulse, a seaweed and source of iodine.
They all appear to have zinc, which is great, but I would consider adding some selenium as well since zinc cannot be metabolized properly without it- it also helps to decrease thyroid antibodies if they're a concern.
Be aware that if your body is getting enough iodine, other halides are not usually a problem since they'll have no place to "stick". I believe the same is true, for a large part, with heavy metals though Panserbjorne would be a better person to ask about that- she's the one most experienced with it to my knowledge.