You have nothing to worry about unless you are doing multi-accounting and/or provided fake documents.
The security department have a tendency to be a bit slow, so you just have to be patient.
Live-chat are unable to help you with stuff like this anyway. How did you manage to get banned from live-chat? I would think it takes quite a lot harassment before they decide to disable the chat option.
As suggested from above poster- send a PM to the Sportsbet rep on this forum and he might be able to speed things up