Can you show the operation you are taking that isn't moving the keys you want to move? Probably we need your .spine
(without images) and step by step instructions, including what version of Spine. contact@esotericsoftware.com
If you are box selecting or dragging white keys, it will only move the visible/selected keys. It may be that your keys are not visible for some reason. Do you see the keys that aren't moved? Have you hidden slots? ctrl+H
unhides all slots, bones, constraints.