Ken the Lincoln Owners Club publishes a production records book, models serial numbers etc.
On my 36 the body tag is located on the seat riser under the cushion, will tell you the body builder, number and model. If you have this
I can look up what you are looking at.
Wood work is a tough question since we don't know what your capabilities are. Some find it daunting, I don't because I've been doing it a
long time. Anytime the sills are bad it can be challenging. I am presently doing wood on my 36 LeBaron Cabriolet .
Interior wood is just like refinishing furniture.
1935 parts are available but very few pre war Lincoln K parts are inexpensive.
Would suggest you join the LOC and you may wish to check the LOC and Lincoln K facebook groups
Best of luck , John Kelso