Luckily, the fee for the Gold is (usually) waived the first year. You can bail out right before the one-year anniversary to avoid the fee. (Be sure to cash out any rewards first. 
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But I think that the combo of youth, short history, and inqs-gone-wild might put the Gold out of reach for now.
OP, I think if you let the dust settle for now and do your research, and polish up your reports (low util, increased age, etc), you will probably be a good match for AmEx on down the road. And maybe you'd get the Zync now, I don't know. But the Gold...
Wow, that's a bunch of inquiries! 
And I see that you've discovered the hard way that Cap One pulls all three reports.
Anyway, hard inqs display for two years but are only counted for FICO scoring for one year. Some lenders don't seem to mind them, while others would need smelling salts upon seeing your collection. At any rate, the longer the period that you can go without acquiring any new ones, the less you will look like a ticking time bomb. Rightly or wrongly, lenders often view multiple inqs as signs of desperate seeking of credit, and they don't want to be the ones to get burned if you're in some sort of financial trouble.
The Credit Card ACT requires lenders to determine whether applicants have the income to handle the credit they're granted.
No guarantee on whether you'll be approved after six months. But you'll certainly look more reassuring to lenders. And if they ask you what on earth all the inqs were about, you can always use the "young and stupid" line. Many of us have used that one at some point! 
At any rate, right now your best buy is just to shine up your credit profile.