Hello, new poster here, long-time CH sufferer; 13 years now just wanted to drop my opinion
Based on your description, I think it is not cluster headaches ( again only in my opinion, not a doctor )
The reasons why I don't think it is CH is because:
1) Odd timing of first occurrence ( 12 as opposed to 20's+ )
2) Length of attack period lasting only days and not weeks/months
3) Possibly not responsive to oxygen
4) No known triggers ( as another poster pointed out, many have a strong reaction to alcohol )
5) Traditional antiinflammatory and painkillers seem to have some effect at least for awhile ( many report they have no effect at all or extremely stunted effect )
Individually they would not rule out CH, but taken together it doesnt seem like it is CH. Im not a doctor but it seems from what you described more similar to a migraine type attack than clusters.