OK, I'm not a doctor and I don't know anything about Graves disease, etc but I have heard others hear say that while weight loss is slower for those with thyroid issues, they can still lose a bit. Plus, when I look at your height & weight & how much you are (not) eating, and the heavy amount of exercise you are doing -- I am not really surprised that you aren't losing anything.
WHY? You are doing an awful lot of exercise: that can hold water-weight and burn so many calories that you are not getting enuff to sustain your body each day. Who figured out how much you should eat? I think you may need about 2000+ a day or more with all the exercise you are doing. Maybe try upping your calories for a week or so and see what happens.
What have you got to lose, but fat & weight?