You should be able to map the knobs as CCs, it's highly unlikely that it's not implemented, but check the manual just to be sure. Afaik, those NI keyboards have a somewhat finicky integration - you have to load their particular wrapper plugin (Kontrol) in order to use it. I'd double check the whole thing if I were you, I bought a Novation keyboard ages ago with a somewhat similar feature called Automap, and it was kinda shit. NKS is supposed to be better, but it's still not exactly seamless either.
Yes, I don't know where I could find this. I'm gonna search in the manual, but I hope this can be possible.
I don't need the pitch shifter, or the assignable buttons above the keys.
I just need the keys to play the note pressed, but with the modelisation chosen.
Oh, absolutely! It's just a MIDI keyboard.
It's just the mapping of all the knobs and such to Controls on VSTs that is optimized for NI stuff and hard to make work automatically with other VSTs (the same applies to any keyboard)