ok that happened to me before while I was trying to fill offers from different accounts. It usually is not the imvu staff that bans your new opened account. It is the Imvu system. When it catches something suspicious such as fake random names, bots, unverified e-mail, accounts with very similar name that just opened in same day and etc.
@Soulljah
I suggest verifying the e-Mail of the new account that is opened right away and don't pick a name that you picked before or something similar to it.
If these 2 don't work, I would log in to new account and start chatting in the rooms and do a little shopping or even buy some credits, that way your account will no longer be banned by the system and it is now in hands of staffs. So what I'm trying to say is act normal. I hope these can help.