In my opinion, you did just great. The bike appears to be quite original sporting a more than acceptable patina of age.
I would do the clean, lube and set-up thing, same as the OP with two additions. I would get rid of the inappropriate bar wrap. To me, it stands out too much and looks out of place. The same tape, in black, might look better and work just as well. But for me and such a bike, my only choice would be cloth, in either black or even a dark green. I should add that I wear padded cycle gloves when I ride.
And second, I would look very carefully at the tires. Old tires, though I used to think differently, are not to be trusted. Even NOS old tires, in my opinion.
This one blew out with a bang. Lucky it was the rear and I was going slow...
These NOS hoops shredded themselves a year after put into use. Admittedly, I took the tires to Jamaica with me. Perhaps the climate change had something to do with the failures (both tires)...