First... don't login to your main account again until this is resolved. There is no real differentiation between "alts" and "mains"... they are all you. If a staff member sees you logged in, you will likely be banned, and then have to appeal on your "main".
As for why you are banned, I can only speculate. I highly doubt this is an "intellectual property" issue. In fact, I am positive it is not. The meaning of a joke is typically based on the person saying it. For example, if you are close friends with someone, a joke that may seem like it could be hurtful can be amusing - because the target of the joke knows that you are only joking. This is known as an "inside joke". The issue with this account is that (at the time), it was anonymous. It is almost equivalent to some random person on the street walking up to you and insulting you. While you may have intended to just be joking around, it probably wasn't taken that way by Intelli (as evident by the ban).
I understand that you cannot PM, so if you would like to privately apologize to Intelli, you can click the Contact link on the top of the page. Just don't send something like "plz look at my ban appl"
Due to the name of this account, I am not sure it will actually be unbanned... but that is up to Intelli. Hopefully, it will be stated that you can login to your main account again, when the decision on this account is made.