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As others have stated I'd take a pass on the Credit One MC. You already had a relationship with Credit One, it did it's job in helping to you reestablish your credit and now it's time to move on to bigger and better cards, not to mention cheaper interest and no fee cards. I had lower scores than yourself when I applied for Navy and I also had a secured Discover card at the time. Applying with Navy was like the credit heavens opened for me, they gave me a $5k CLOC and and $8500 Go Rewards Visa. Of course every situation is different and YMMV but I'd say there's no harm in trying for Navy. Nothing ventured nothing gained. Go for Navy and take a pass on Credit One, Best of luck in your apping endeavors.
Everyone has given good advice here. Pass on the Credit One and opt for one of the other options presented. No need to be stuck with that preditory lender for a 2nd round. Also stay away from First Premier. Good luck!