I did this very project on my Boba Fett backplate. I indeed sanded the crap out of it.... every square inch of it and used an epoxy based fiberglass. I laid down 3 or 4 layers, not sure since it's been a good 5 years.
It has never ever had one area of lift since completion. The heat did not warp the plastic since I didn't over use the catalyst, which if done improperly would indeed heat the crap out of it enough to warp.
Go with confidence, but go easy on any catalyst you may use.:thumbsup