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It's certainly worth trying to recon. Be sure to have a good reason for the new accounts and inquiries, and practice what you are going to say before calling to recon. Also, have a specific reason why having the Alaska card is important to you, and share that as well. Good luck.
Sorry to hear that. You could wait a week and try to recon again with a different person if you feel motivated to do so. Did you call one of the recon numbers from myfico?
Unfortunately, I always found BoA recon people to be rather rude and unhelpful, even though I have a good card relationship with the bank.
Perhaps wait 9-12 months with no new inquiries and try again. Don't give up - I got the Alaska card on my 3rd try (and I already had another BoA card), and it's now at $29,000 CL. And I've only had it since October!
BoA very often likes to play hard to get initially, but once you have the card it will be a different ball game.