It can be tough to get accepted into some of the bigger advertisers programs on CJ. I say this from experience because I'm part of the premier finance CJ program and even after doing tens of thousands of dollars in sales per month, I still can't get an approval from some programs. Amex, Citi Cards, eHealthInsurance. They haven't declined me, they just won't look at my applications.
With the premier thing, CJ has you complete a resume sheet for your sites that breaks down marketing methods, traffic volume etc. and they will send that to the advertisers on your behalf. But again, I still haven't gotten an answer from some. It's frustrating when they have a good product that you could do well with, but they won't get off their ass and look at your track record and hit the damn approve button.
Hang in there. If you get denied, wait a week and reapply. I've done that a few times and got an approval within a couple days. It's hit or miss, but worth a try.