No progress on "Problem 1: Pitches", but I was able to resolve "Problem 2: Memory corruption"
Steps to resolve the memory corruption
# Connect the Korg Kross 2 keyboard to a computer via USB.
# Press and hold ***Global/Media*** and ***Function*** keys while powering on the keyboard. This opens the internal memory as USB storage on the computer.
# Make a backup copy of all the files on the USB storage.
# Delete all the files on the USB storage
# Replace with a copy of the files from a working Korg Kross 2.
# Power off the keyboard
# Power on the keyboard