Sadly, lab results that are "in range" will not necessarily support optimal health. Those ranges include the results of people who are very ill.
You could be right about your adrenals having taken a hit. Salt is their friend. Consider trying 1/2 tsp pink salt today, and at least 2 quarts of water. A quarter teaspoon per quart might help revive you. A sodium result of 139 6 months ago could be worse by now, or at least not much improved.
I have never tried SSKL but my uncle once recommended me to try this Beardilizer's beard wax look at this page as it contains American Shea Butter, Mexican Candelilla wax, Greek Olive Oil, Greek Rosemary Leaf Oil, etc. This Greek Rosemary Leaf Oil helps to protect from dandruff and it would be always better to avoid using the same products for beard and head.
Sounds like you may not have had the companion supplements in place before you started Lugol's. Vitamin C and B vitamins come to mind in particular right now. Start some salted water, both drinking and gargling with it.