No, don't take iodine unless you get tested first. If you are deficient you need to find an experienced practioner to guide you.
As you have been told you have Hypo/Hashi's, have you been prescribed Levo?
FERRITIN 22 (30 – 400)
For thyroid hormone to work (that's our own as well as replacement hormone) ferritin needs to be at least 70, preferably half way through range.
You need an iron supplement, preferably an iron infusion so ask for one, but you may only be prescribed tablets which will take months to raise your level whereas an infusion will raise your level within 24-48 hours
Also, ask for an iron panel and full blood count to see if you have anaemia.
FOLATE 2.3 (2.5 – 19.5) VITAMIN B12 193 (190 – 900)
You are folate deficient with extremely low B12. Do you have any signs of B12 deficiency b12deficiency.info/signs-an... You absolutely must post on the Pernicious Anaemia Society forum for further advice healthunlocked.com/pasoc Quote Folate, B12, ferritin results, iron results if alrealy done, and any signs of B12 deficiency. You may need testing for Pernicious Anaemia and may need B12 injections, see what the PA forum says then discuss with your GP.
VITAMIN D 64.3 (50 – 75 SUBOPTIMAL)
Continue supplementing, the level recommended by the Vit D Council is 100-150nmol/L.
There are important cofactors needed when taking D3
D3 aids absorption of calcium from food and K2-MK7 directs the calcium to bones and teeth where it is needed and away from arteries and soft tissues where it can be deposited and cause problems.
D3 and K2 are fat soluble so should be taken with the fattiest meal of the day, D3 four hours away from thyroid meds.
Magnesium helps D3 to work and comes in different forms, check to see which would suit you best and as it's calming it's best taken in the evening, four hours away from thyroid meds
Check out the other cofactors too.
Taking magnesium as a cofactor will take care of your low magnesium level.
ZINC 14 (11 – 23)
This should be half way through it's range.
SELENIUM 0.91 (0.89 – 1.65)
As you have Hashi's, besides adopting a gluten free diet, supplementing with selenium l-selenomethionine 200mcg daily can also help reduce the antibodies, as can keeping TSH suppressed.