From what I can tell, the hardware buttons and knobs only control hardware functions
. Zooming and scrolling around waveforms is something that can only be achieved in the software with the mouse. I don't believe you can vertical zoom on waveforms. But since you're only looking at one waveform at a time, and it's quite large, it's not an issue as far as I can see. You can vertical zoom in the piano roll, though.
As far as moving around while zooming in, I didn't mess with it a ton. But I did find that when I was fully zoomed and I hit play, it would scroll, but then when I let go of the pad and the sound stopped it would return me back to the beginning of the wave form. That was pretty annoying because I was dealing with a large waveform. There is no 'play' cursor to keep your place as it's scrolling.
The old MPC hardware step sequencer view is gone. If you want to make small edits, you must do it in the software. Otherwise you go in REC mode and record over the sequencer track. Even though that was a pretty unintuitive method, I kinda miss it.
You can set the key range and 'original note' for keygroup zones. But I believe it must be done in the software. I don't know if it can be done via some faster shortcut by merely hitting keys on a MIDI controller (if that's what you're asking). I doubt it, though.