An enemy trooper activates and move + moves into base contact with my zero. The zero has LOF after the first move so lays a mine as an ARO. Does the mine trigger? It says deployables are placed at the end of the order so it seems like not... as by the end of the order the two models are engaged so can't be targeted by template weapons. What about if the enemy trooper played move + bs attack? Does the mine trigger then or does it need to wait until a subsequent order? On the other turn, the zero moves, an enemy trooper engages as ARO, the zero lays a mine as second short skill. Does the mine trigger? Similar circumstance as the first just roles reversed.
None for all. As the mine is laid at the end of the order, a subsequent order (ARO works as well) would need to be spent in all cases for the mine to go off. You are correct, though, that the mine will not go off while the enemy is engaged with you.