Question Can I pitch correct and pitch shift at the same time

Yes absolutely. The only thing to watch out for is that if you are doing MIDI shifting, the MIDI shift will override any correction you are doing. For static shifts, and harmonies, the two will work very well together. If you are controlling the correction, shifting, or both via MIDI, make sure you are sending your notes to the appropriate channels which are specifiable under the MIDI/UTIL menu.