If you are diagnosed with Graves, I would highly suggest an opthamologist appointment as they can take measurements of your
eyes in the event things start to change. I was diagnosed
in January and saw eye doctor
in February. The eye involvement is called Thyroid Eye Disease (TED) and there is much info on the web. The only treatment that I know of is drops for the dry feeling and sleeping elevated at night. You can try cold compresses for the swelling.