... Thank you for the excellent tips and advice. So extra cloth/mat will be added even if the original skin is re-applied? Should the wood core be added in multiple layers or just the mat/cloth? Are you able to divulge what month the article will be published?
If working from the inside I would NEVER reuse the skin. There is zero chance it will fit well and bond well to the core unless you use a lot of bog... and how would you clamp it in place? There will be areas of poor bonding. Do NOT reuse the inner skin.
I don't like reusing the outerskin for the same reason. Too hard to bond. The new core will never be precisely the same thickness, down to the bump, as the old core. Lay a new skin. A repair was done from the outside on my current boat and it was HORRIBLE with thick bog and very poor bonding/scarf to the existing deck. And this is why I like working from the inside. You can focus on bonding instead of finish.
Do NOT layup more than two layers when working overhead. It will fall off on you. Finish does not matter, so forget the visqueen; it will just make it impossible to roll out the air and excess resin (excess resin is heavy and cracks). Just work on a large plastic sheet, such as a large cutting board. Precut the glass if possible, or have a helper cut and hand. Change gloves every 10 minutes, before they get sticky.
Nope, would not use polyester. I have several times, and I would not use it for this. The secondary bonding is weaker.
You are replacing old core. No bevel needed.
Paul is right about balsa bonding better. If you use Corecel or similar, score it extra to make it floppy enough to conform to the old stuff. Be careful removing the old core; it's easy to go through the skin. I like a wire cup brush on a drill for most of the removal. Take it easy.
I've done whole ceilings this way. Keep it simple, work small, and work steady.