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I'm Matt and I'll try to help you with this
If the car's not cranking then first check it can turned over by hand so double checking for any mechanical issues
If OK then check that the main battery cables are on tight and the terminals are clean and bright. Do the same for the engine / gearbox earth strap. Then follow the main positive lead back to the engine and down to the starter motor, and check the connection at this end as well.
There should also be a small wire to the motor which should have 12V when you're turning the ignition switch to crank. If the 12V isn't there, check back along this wire for damage to the insulation or corroded connections
This 12V feed comes directly from the ignition switch so this may be faulty and need replacing
Check the resistance of the main positive lead that runs down to the motor as anything more than a few ohms and it should be replaced
Don't forget to try a jump start from another car / battery as its possible the battery is poor, if you have a voltmeter a healthy battery should read 12.7+V
also try substituting the battery for another as I've known a very flat battery to drag down the system voltage too far even with jump cables
one other thing to consider is that the immobiliser is faulty and preventing the starter from being enabled - however if the dash / ignition lights are on then this usually means that its off
If this is all OK then its possible the car needs a new starter motor
Thank you for your attention to my question.However there are some things you have overlooked in my post. to wit:
The starter is new.
The engine can be started with a screwdriver jumping the small terminal you speak of on the starter with the feed from the battery.
The small lead on the starter does not connect directly to the ignition switch the way you wrote.there is in fact a relay in between which I have checked by substitution and further checked some wiring by the fact that I can also start the engine by using a short length of wire to jump the two load terminals in the relay socket.
I am also somewhat flummoxed by the fact that if I hold the key over to start position the relay seems to be operating as it should but clicks on and off about once a second or so but only long enough per click so the engine only turns a few degrees per click.It will do this more or less indefinitely.
Lastly ,the dash turns on as it should when the key is in the "run" position.
I have twenty years professional experience in mechanics mostly on older british cars and another twenty before this as an amateur (did road racing ,etc etc)
thank you for your efforts