[llamabeast]

First question: Don't know, sorry. Good question. My guess would be that he'd die.

Second question: Yes, it will work outside of battle. Things like Luck, Air Shield etc work too (air shield is good against Seeking Arrow!).

Third question: Probably some temperature effect (e.g. fighting creatures with cold or heat aura)? Or maybe she is wearing a tiring item liek the flaming helmet (can't remember exact name)? Or perhaps she is occasionally sneakily casting a spell? If there wasn't any funny business going on, a unit with enc 0 should not accumulate fatigue from combat.