Your antibodies could reflect Hashimoto and a burning neck IS common with that.
Definately do searching on the internet on the Hashimoto-hypothyroidism sites. You may be able to get alot of useful information to share with your doctor.
I know the regular symptoms but last week my thyroid/neck slowly started to burn while I was at work.Not bad enough that I was panicked but enough that I had to stop what I was doing for about a minute. It happened twice within an hour. Also, my arm today started to go numb. Does that have anything to do with it?