Need advice on what to use on old treadle cabinet
I am working on an old 1913 Singer treadle cabinet. It's in decent shape just a few spots that need extra help and I would love some advice on what to use or how to repair the issues. The veneer is separating and splitting a little at the back and the bottom of the curved area where the machine fits inside. There are tiny pieces of missing veneer next to where the machine sits. And there are a couple places where it looks like something hot, maybe an iron, took off the finish off of the top. The other two pictures are of the worst places on the metal treadle base. My questions are what kind of glue is best or better to use? How can I get those tiny spots fixed, replace the veneer or just sand smooth and stain since they are so little? What should I use to cover the missing color on the top? Should I put a new shellac coat over it or should I just clean it and wax it with something? As far as the metal treadle base, should I just polish it/what should I use or should I do something else with it first besides washing it down better?