Your time period for filing such an appeal would have expired long ago. Unless there was evidence that the officer or lab technician falsified the blood alcohol evidence against you (which has happened recently in some states), there is probably no relief available to you. You can consult with an appellate attorney in your area but I imagine they will tell you the same thing.
It could, but it is highly unlikely. Very highly unlikely. Especially if the conviction was by plea because the court would've have advised you of your rights and it would've been recorded. The court wouldn't have been able to accept your plea unless you agreed that you understood your rights and were willing to waive them. That said, your motion would also, based on what you've described, require that you file this based on ineffective assistance of counsel, which is very difficult to establish. You should go see an appellate attorney in your area to discuss this in more detail. You could file this on your own, but you shouldn't because you only get ONE chance at it. Good luck.