Hey! Just got back from a con, but here’s some brief answers:
1.) That wasn’t the intent in the design. I’d have ruled that you should finish the battle you are in and forgo any new ones.
2.) If you do decide to go with being pulled to a new war, I would position the narrative as being called by your liege to that, and there is no glory loss.
3.) If you do the interrupting, I’d say that the previous battle finishes off-screen.
4.) No, EVADE DANGER doesn’t end the sequence it takes place in (unless specifically noted or you elect it to be narratively appropriate). You return to the situation with the outcomes of EVADE DANGER and continue moving forward.