this little sensor/switch fixed my problem

. The engine now starts immediately and doesn't shut off

. I can immediately select a drive position.
After I removed the sensor/switch it spilled approx. 2litre of coolant; I was a bit surprised but filled it up again and temperature is fine. Now I also own a tubular box wrench (what a stupid position this sensor/switch is at :>).
Thanks for your help.
Kind regards,
Andreas.