Fit a new fill valve, new flush valve, through bolts and dounut washer:
https://www.screwfix.com/p/fluidmaster-bottom-entry-brass-shank-fill-valve-1-2-/47792
https://www.screwfix.com/p/fluidmaster-push-button-cable-dual-flush-valve/51173...
We have a Range Master, the wife loves it, instant heat, easy clean but you will have to buy all new pans.
And yes, as soon as you lift off the hob, it turns off.
Andy