Help with vector logo

[yellowbird]

I am trying to convert the original Jerry's furniture logo into vector shapes. I put some time into working with the shape tool, and have a better result than past efforts, but still need advice. The attached .jpg shows the original drawn logo from a business card I scanned, the second my vector shapes on top of the original, and the third the vector shapes on white background. I've also attached the actual .xar file, so you can view it at 2000% to showw imperfections. I want to be able to use this on around a 4 ft sign that will be up on the building, (not sure how high it is, say 20ft). wondering if it will be good enough or other suggestions. Another issue is the graphic that makes the right side of the J. It is two shapes, I've tryed all the ways to combine shapes, and can't successfully get into one shape. I have Designer Pro +. Thank you for your help and suggestions.