Here are a couple of considerations based on my recent completion of a new rudder for my 1999 RV-6 due to cracks in the skin.
Yes, you can use the old spar if the old skin is carefully drilled off the spar, but the new skin will not be prepunched. I used a new spar because match-drilling the new skin to the old spar could be a huge hassle. It was easier to drill the new skin to a blank spar as was the case when the rudder was originally built. The old spar can be used as a template for drilling the new blank spar.
I made new stiffeners which were longer than the originals so a tab could be incorporated that attaches to the spar to prevent flexing of the skin at the spar and cracks. The new 0.020" skin is less susceptible to cracking but the reinforced stiffeners should eliminate that possibility.
The RV-6 rudder is common to the RV-4 and Vans had the skin, spar and tip ribs in stock for prompt shipment. I reused the hinges, plates, rudder horn, brace and fiberglass tips.
This could be an intimidating job for someone with no building experience or tools....an experienced builder with non-prepunched background would be a great resource. The biggest challenge I had was forming the rolled leading edge to fit my vertical stab, that was tedious.