Make sure they also check your thyroid antibodies, because you could have Hashimoto's, in addition to hypothyroidism.
No, Graves is HYPERthyroidism. You're showing classic symptoms of HYPOthyroidism. Get the basics: TSH, free T3, Free T4. go one from there.
I agree. Get your blood tested for Graves' Disease. At least you will know one way or another. Mean time coat your eye's with Patrolium jelly before bed. It helps with the dryness around the eye's. Also put a frozen bag of peas over eye's for the puffyness. Will make them feel better anyway
Haven't you heard? If you're Canadian the "always feeling cold" symptom doesn't count! :-)
Seriously, though. Have you thought of getting your thyroid hormones, or at least your TSH, tested by an online lab. I had good luck going that route. At least when you go in to see your doctor, you have something concrete to base your request for thyroid labs on. I found the online lab reliable, but I'd definitely have further testing if their results came back anywhere even close to abnormal.