The Premier anodized slides are crazy expensive, retailing for near $60 USD, each; chrome slides are about 1/2 that amount. Given the age and what appears to have been a poor installation, at one time or another (sealer applied to the flange), never mind the condition of the captured idle (pilot) jet. If the slides, that you have, are a good fit (not too loose or tight) and move freely up and down, with the carbs properly mounted to the manifolds you might get another riding season out of them. The repair of the slide locating pin would be considered a minor miracle if it was done on roadside, but if the suggestion of a too aggressive ride in a lathe is correct the perpetrator, well intentioned, no doubt, should have just cracked another beer. The sheet metal screw will, at some point, eat up the channel it runs in, if it hasn't already.
If your idle jets are clean or an be cleaned, then new slides, new needles and new needle jets may work wonders, but you'll be back it at much sooner than if you bend over for new carbs. I am inclined to think that any motorcycle that presents abused parts, like your carb(s), has a plethora of other issues, that will bite you, sequentially, when you least need the aggravation. New carbs would give you the freedom to worry about some other mechanical aspect of your Norton.
Back in the day when I was a 20 something, newly married with new son, I made a lot of repairs of the nature this thread is predicated on. I found that I was splitting my time pretty evenly between riding and fixing; fix one problem and another would take its place, just like marriage! So, back then the Norton ended up being a real marriage saver; it taught me a lot.
Best wishes