I am new on here. I can't pretend l am knowledgable enough to understand your test results but you give a list of supplements you are taking and, like you l have been advised to up my vits, minerals and nutrition and as l have Hashimotos and spend at least one whole day a month with horrendous vomiting, wretching the whole day on an empty stomach and as lm unable to hold fluid down l was put on a drip for chronic dehydration after a day like this. This was terrifying for me because they put me on a drip as they thought l was at risk of going into kidney failure (l only have one kidney as l donated one to my brother 9 yrs ago). My point is, l tried supplements, healthy eating and you MUST give up gluten too but l have been juicing fruit and veg every day and feel great on it, my thyroid function after 6months has improved and my doctor is impressed with results as l do not want to take synthetic thyroxine.
You really can hugely improve you intake of vits and minerals by just juicing, maybe once a day, Jason Vale has been a massive inspiration for me, he has a great documentary on YouTube if of interest. I still don't feel completely well but with the support of a good nutritionist and juicing to support your body towards better health you could start heading in the right direction. From juicing, I've gone from terrified to hopeful in six months so l feel lm at least helping myself to head in the right direction. Good luck, hope it is of some help.