1. Drawing a tag depends on zone and season. It can take years and several points if asking for an archery tag in some zones or it can be 100% success if a gun tag in some zones (not all). I think you are looking at north central and with a gun, you would have very good chance of getting drawn most years.
2. Hunting in that part of the state is very good.
3. Muzzleloaders are legal weapons in all Iowa deer gun seasons.