Denied on what grounds? Did you try fiddling with your credit lines at Chase?
Too many recent inquiries - I had just opened up the AA Amex for 75k
And maybe something else, but I don't remember. Either way, my credit is perfect, never been late and always pay in full. Amex and MC both have increased my credit lines immensely over the last number of years without my asking them.
I would move stuff around with Chase, but I don't have any cards open with them - although my checking account is with them.