Buy a new KL34? if that works then it works.
Otherwise I would suggest going over all the basics of how the KL34 is wired and configured. From scratch each connection, redo trimming.
Check each conductor in cables, connectors for proper conductivity, etc.
These oscillations in the KL34, do they change with jogging speed or do they change with anything else? Are the oscillations magnitudes close to the step angle, more, less?
Have you tested the KL34 and driver with only that connected to the power supply( all other drivers and motors disconnected)?