1. Nope, the tasks will switch over from the normal ones available to CD tasks as soon as the event starts.
2. You should be able to discard the regular tasks after the event starts and pick up event tasks from those same stops. Just to be safe though, I would discard all regular tasks one minute before the event starts so you have room for the event tasks. If you complete regular tasks before the event starts, I don't think you'll be able to pick up new tasks from those same stops.