I used to get a lot of pain on the left side of my head, at one point I took steroids while the doc did blood tests for trigeminal neuralgia, it wasn't that though. I used to get repeated bouts of sinusitis too, my eyes felt like they were getting sucked into their sockets and all the area round my eyes and cheekbones used to hurt, used to feel like imene had punched me in the face ( well no one ever has but i imagine that is how it would have felt if someone did!) I also got a sore left ear and even my teeth hurt on that side.
Since I have been diagnosed with Graves and given Carbimazole and thyroxine I have had no problem - apart from getting sore eyes again today but we went out for a long drive in the car and I think it was caused by the air conditioning blowing cold air in the direction of my face.
Used I have arm pains like you have too. All part of the thyroid problem though and the pain in my arm has improved while other ones are still the sme / come and go.
Are you overactive or underactive?