I have to say that despite the autonomic symptomes which can be misleading, it doesn't sound much like cluster's. Most people with CH rock or pace but not all. That isn't conclusive by any stretch. What bothers me most is your continuous background headache. Does that ever go away? I mean do you have like a week or month or a time period with continuous headache and spikes and then it all goes or what?
Being sick isn't a normal symptom with CH although, sometimes the pain is so severe it can make me sick. Nausea is more commonly associated with migraine.
Please note, I'm saying "usually" and "commonly" - having a symptom that falls in or outside the normal range doesn't make it any more likely or unlikely. One of the most difficult things about CH is it's ability to morph between us, it's like the ultimate designer headache. We all have one of a kind, different treatments, triggers and ways of coping. Our aim is to help you find what works for you.
Incidentally, for ch'ers, caffeine is a godsend. CH is a vaso dilating headache disorder and caffeine is a vaso constrictor. That's way it can give people headaches but for us, it works in a similar way to imitre and red bull in that it constricts blood vessels thus reducing the pain.
I forgot to ask earlier - where is the pain? Is it one sided or on both sides of your head? Where exactly does it hurt?
There are other headache disorders which can be continous with spikes such as Hemicrania continua.
I'd like you to have a look at this link and see if it describes how you feel.
Multimedia File Viewing and Clickable Links are available for Registered Members only!! You need to

or

I also found this which may be of interest.
"
Long-lasting autonomic symptoms with hemicrania (LASH) is the rarest of the TACs, and has been only recently described. Patients suffer attacks of autonomic symptoms such as ptosis, eyelid edema, lacrimation and nasal congestion which precede headache by 3 - 4 hours. This is then followed by severe side-locked headache, with continued autonomic symptoms. Unlike the other TACs, there are migrainous features like nausea, vomiting and photosonophobia. These attacks last much longer (1-3 days), and may occur at a frequency of once per week. Unlike migraine, these attacks are completely responsive to indomethacin, but show no response to verapamil, oxygen, sumatriptan or opiates."
"Seeing as how you're a teen" - I hadn't realised that before. I am a CH sufferer and a mother too. My son also has CH. I know this pain from all angles, as both a sufferer and a supporter. Not only do I know what you are going through but your parents too. If they want anyone to talk to please send them along. I would be more than happy to give them support and feed back too, in fact we all would
You're one of us now!
Helen