1. Can you kill cards that you control but do not own (as military claim or deadly effect)? I assume yes
2. Considering the "honor guard" cards from the core set (that are put into play on control of another player, but change control to owner if they win a chalenge), if the other player wins a chalenge by defending it, but has less deadly caracters than the attacker, is he able to kill my honor guard before it changes control?
I assume it cant since the passive effect of the honor guard happens on the framework window that determines winners of chalenges, and the deadly effect happens in a framework similar to the renown framework, after the results are implemented.