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For a data point, I app'd (March 15) for the Barclay Rewards with a 605 TU, one medical collections, and one CO loan. My oldest revolving account was Nov 2014. They denied me but approved me on a recon for a "starter limit." So I think you have an EXCELLENT chance - if not immediate, definite on recon. They were very friendly.
Like I mentioned, my oldest account was only 5 months old when I received my recon approval. And you look to be in much better shape than I was in. Good luck!
I say go for it. And like someone else mentioned, they have a 24 hour recon line. How convenient.
Hope to see you in approvals soon!