I have two things to add. If you are going to do a complete DIY socket changeout.Gear this old needs new sockets. That's particularly true of bakelite, which becomes brittle and prone to cracking due to the long term heat.
1.) Do only one socket at a time. And take good "before" photos.
2.) Be sure all wiring is correct before soldering.
I started out years ago, rescuing several first-time DIY attempts at complete socket and/or pot R&Rs in vintage gear (read: $$$). I do not do those anymore.

