Q. If a model is Staggered (or has Planted Roots) can it be moved by its own Actions that are controlled by another model?*
A. Yes. Actions such as Obey that allow to a model take an action aren’t directly moving it. Instead it is moving itself, but not under its own control.
Q. Urami – Does the Vengeance ability resolve if a model uses the Take the Hit or Protected abilities to change the target of an Action to another model?
A. No. Being the target (noun) of an Action and being targeted (verb) by an Action are separate (though closely related). Take the Hit/Protected change the target(noun) of the Action without targeting (verb) a new model. Because Vengeance requires a model to be targeted (verb) it does not work when the target (Noun) of an action changes via other means.