I am no expert but have rebuildt my far share of rods over the last couple of years.
1. I prtty sure you are going to hav to ream the EVA foam.
2. To me winding checks are just mainly for looks thy don't have a hold ot of strech to them.
3. No but you might have to build a arbor for the foam beacuse the butt section is going to be larger than the blank by your real seat.
4. no but a dremel with a cut off wheel will give you a smoother cut.