I'm on the same page as Leigh Ann. Your symptoms sound very much like a migraine, especially because they're one sided and around your eye. Rebound headaches tend to be dull throbbing and in a band or all over. Then there are tension headaches as well, though rebound headaches can feel like them, tension headaches are a separate type and can be started by a muscle spasm.
I recently had a similar experience to what you are describing and my doctor called it a combination headache - muscle spasms and a migraine. He prescribed a drug cocktail of Atavan (relaxant), Celebrex (muscle relaxant) and Tylenol 3 (narcotic). I've modified that slightly to Atavan and Robaxacet (muscle relaxant with Tylenol in it) and no narcotic and that works well for me. Toradol a prescription muscle relaxant that's not a narcotic also works on the tougher headaches.
I'm concerned that your doctor had an idea of when your headache would go away. Sometimes doctor's get frustrated with headaches because they don't know how to fix them and either blame the patient or explain them away hoping they will go away. If you're in constant pain I recommend asking to be referred to a neurologist. S/he will be able to determine the difference between a rebound headache, tension headache, migraine headache and a combination headache. S/he will also be able to prescribe the right medications.
Finally, how many medications are you taking. If you're not taking lots of over the counter medications or triptans regularly then your headaches may not be rebound headaches.
Good luck and keep checking in. Unfortunately a lot of us know what you're going through.
The secret of health for both mind and body is not to mourn for the past, not to worry about the future, or not to anticipate troubles, but to live in the present moment wisely and earnestly. Buddha