Concerning luck

[K]

Personal Luck only potentially affects the damage part of spells. For example, if you cast Falling Frost on a Lucky unit, it might avoid the damage but will have Frozen effect(or whatever it's called).

Also, personal Luck can also help you avoid the damage that some rituals do. For example, Seeking Arrow is a damaging ritual and personal Luck protects 50% from that.

So no, as far as I know personal Luck does not affect anything other than damage.