1. Soil test to determine if you even need lime.
2. Personally, I would wait until green up a little more then kill it and then wait a couple weeks. Disc it. Let it green up again and kill it again. Drag it. It would really depend on what you are planting in the Fall.

Clovers, turnips, and radishes are all small seeds. If you make a good soil to seed bed then all you would have to do is broadcast seed before a good rain.