No, it was several times explicitly stated by mods and staff, that creating an account to discuss a ban is allowed. Just dont post outside of meta or discuss other topics within meta.
14 days is a typical first-warning-you-are-spamming-ban. It used to be less, but BadBear apparently had enough. I only skimmed through your posts, but the majority (last 3 pages) look like one liners. I read some and do not think they contributed to a discussion. If these posts are the exception they are fine, if they are the rule, they are not.
As others have said, to get unbanned early will not happen, wait 2 weeks and come back. You are allowed to log into the account and read your favorite threads etc.
Keep in mind that you are not allowed to create a new account to post anywhere besides where. That would be considered evading the ban, which would prolong your ban and increase the chance for a permaban.
Edit: If you need to keep in contact with customers etc. you can change your signature to