I'm sorry no-one has been able to answer your question and I'm afraid I don't know the answers either. I don't know if you have had any success in finding out.
If you can't get the test you need to confirm Graves or Hashimoto's have you had a referral to an endocrinologist?
You can get some of these tests done privately. If this is an option for you, you might like to look at the main Thyroid UK website to see if any of the labs on there do the test you need.
I'm sorry I couldn't be more help. Perhaps you could repost the question asking people how they got their diagnosis for Graves or Hashimoto's and what tests were needed. Sometimes the right people are not around the first time a question is posted. Maybe they will be this time. Perhaps "What tests are required for Grave's or Hashi's diagnosis?" might get people's attention and you can elaborate in the body text.
Content on HealthUnlocked does not replace the relationship between you and doctors or other healthcare professionals nor the advice you receive from them.
Never delay seeking advice or dialling emergency services because of something that you have read on HealthUnlocked.