Thanks for all the info Dennis.
The job is done and I'm quite pleased, first I have yet the lathe (I wasn't so sure when I seen all the spare pieces) but more it's much better now: removing plays allow to achieve a fine job and I have less vibrations too... anyway at least the impression is those of a better stuff.
First hot parts on the desktop: I think I'll achieve a better finishing now with less plays and vibrations, and enjoy the job a lot more. Thanks guys for comments and helps you offered.
Renault Alpine 442B rim, machined in all 4 sides: outside, inside, front and back
A disc, near the ventilated PEtched one (don't care about the rough surface, was the first time I etched something thick and I have already a 0.1mm disc to glue on)