>how long do I leave the entrance reducer.
Until there is a traffic jam.
>Second, I have a Pro feeder that came with my hive, from Mann Lake, how long do I feed?
Not sure what a prof feeder is. I would feed until you get some capped honey in the hive. That would indicate that they have some stores. By then there will be plenty blooming and they have enough to get through some rainy times. If you keep feeding too long it will plug the brood nest and they will swarm.http://www.bushfarms.com/beesfeeding.htm