My application also says "incomplete," but it's nothing to worry about. I contacted Aklil Bekele (grad program coordinator) about it last week and was told that they had everything of mine and that the website status just reads that way until a decision has been posted. I also had a missing transcript back in early January, but I was assured that it arrived on time. So I'm not worried!
I've been told this is a very competetive program, but it looks like they admitted 10% of applicants last year which seems pretty par for the course in a lot of programs, at least in the ones I applied to which are predominately English PhD programs. I also know that they don't do a waitlist. You either get in or you don't, and I think funding is contingent on the departments you wish to work with.
And yeah, as Stephanie says, we've heard that notifications won't be made until early March this year.