I agree with everything Prism99 has said. Unfortunately it looks like you'll need to do an almost total re-do. I'd take it apart, give the top a good inspection, fix any areas that look weak and then give it a really good press. New batting and possibly just a nice muslin backing fabric to keep with the vintage look. It appears you'll need to do straightening of the edges as well. You could hand quilt simply 1/4" out from all seams which would be appropriate to the age of the quilt and not be too taxing for a new quilter. Wonderful that you want to tackle this project. Just remember...quilting is not a race...it's a process...enjoy it.