Congratulations on a very nice example, Tom. My '60 was a curb find some years back, came to me with a hopeless Brooks and no fenders. I've been using it regularly, and nothing rides quite like it.
I'm curious as to the gearing of your '62 Sports. Did it by chance have 48-16 originally? I seem to remember that mine was that combo before I swapped on an 18-tooth cog. It was a bear in high gear, much better now.