There are several symptoms that can be attributed to swollen Parotid glands, but I did not see recurrent headaches as one of them. However, persons with Sjrogren's syndrome often get swollen Parotid glands. Viruses can also cause this and it is usually Mumps (if you haven't had it as a child). The other viruses are influenza, and bacterial infections, including staph can also involve the parotid gland. Rare conditions causing parotid swelling include salivary stones, tumors, autoimmune inflammations(Sjogrens syndrome), sarcoidosis and reactions to medications(thiazides).
If your parotid glands are swollen, I don't think that it should be a problem that you contact your doctor about this. I wish you the very best.
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