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I have updated the circuit diagram (see Rev.1 attached) having introduced another 8 pin relay and another momentary push button switch to overcome my lamp illumination problem from previously. I think the logic of the circuit now works.Maybe not the channel Spoon was thinking of but one called Technology Connections has done some features on old pinball machines.
Ladder logic can absolutely represent physical relays, that's where it started. In regards to your system, I wouldn't switch the extractor through the 8-pin relay, their contacts are not up to the job despite saying 10 Amp. Rather I would use the relay to switch a stronger contactor that powers the extractor.
Keep working on your diagram, as Dave said there are some issues that will stop it working as you intend so come up with a V2 and we'll take another look.
I hear what you say about contactors which is what I originally looked at but concluded as the max current draw of the extractor is only just over 5 amps I could use relays, especially as I can get a good deal on them. Contactors are much more expensive so opted for the relays. Given that the system will only get occasional use and extraction will never be for more than a minute or two each time I figured relays would be cheaper overall even if one fails and I have to replace it. However now that the return current for socket outlets 1, 2 & 3 have to go through relay CR3 I might be inclined to see if I can find a contactor with one NO and one NC switch as the current draw for the power tools could be as high as 10.5 Amps for my router table. Only one power tool will ever be in operation at once. Haven't so far found a suitable contactor at reasonable cost that can be DIN rail mounted.
I've also attached operating instructions for the circuit with all the switch states for each button operation. Still working on a revised ladder diagram for these circuit revisions.
Any comments would be gratefully appreciated.