I completed my entire application except for DoDMERB and nominations. Will my application still be looked at and considered for an LOA despite the fact that I haven't completed my DoDMERB or nominations?
It doesn't matter whether you have completed your DODMERB or not.
Once a week applications are reviewed but only Admissions knows when your packet will go to the Admissions Board (don't call Admissions to ask when your application is going to be reviewed).
Once a week, as stated above. It's hit or miss whether you will be notified right away, but at some point you should be. BGOs aren't authorized to tell candidates results of the Admissions Board.