Possible sources of small coil springs:
The spring from Schrader tyre valves, (if the longer variety with a spring are still available – commercial vehicle tyre depots?)
The spring from inside defunct retractable ball pens. (They seem to come in more than one size / strength)
(As an Apprentice, I found that the suds pump and sump were rarely, if ever, cleaned, but greatly benefitted from being clean)
Hopefully, if you can determine the dimensions / threads, you can make replacements for some of the missing parts. You may even be able to improve on the original design, having seen the shortcomings of the originals.
On my F E lathe, there is the odd location that has been improved by a deeper indentation for the locating / securing grubscrew. Fortunately, I did not have to remove any galling / burrs where the two parts had damaged each other as they slipped.
Howard