How Your queues work
Whenever your turn ends without you drafting a player manually, a player is auto-picked for you from your queues. The topmost player from your lowest numbered queue (e.g. Queue 1 before Queue 2), where the "Auto-pick # from this queue" setting for that queue is more than 0, would be picked, as long as you can afford him and he fits your positional requirements. After the player is picked, the "Auto-pick # from this queue" setting for that queue will be lowered by 1 automatically.
If there are no players on any of your queues that fit those criteria, the draft will choose a player on its own that it deems appropriate.
Click on a player in the Player Research list and then click the "Queue Player" button - or simply double-click the player - to add him to the queue that is visible. You can then drag & drop players (or use the arrow buttons on touch devices) to re-order them within a given queue.