Creating a new account doesn't mean we can't tell you cheated in the past with a different account.
BF4DB says your new account is linked to another account which was banned for a Punkbuster violation. That account appealed twice with BF4DB and was rejected both times because the owner admitted to cheating. If you are the owner of that original account, it appears there is no point in appealing any further.
If this is a mistake, and you have the worst luck with timing, username choice, and geographic location (which I highly doubt), you should pursue appealing with BF4DB.
Either way, there is nothing we can do about it since the ban isn't from us.