There either needs to be more bandits for the catch 10 bandits in a day mission or lower the amount needed to complete the mission. I have about 40 guards on 10 floors and still can't catch enough to complete it.
Nurse bot should heal the closest or most powerful downed bot. Right now it seems to go for the first one downed which is the one usually surrounded by enemy bots or near the enemy base. They aren't needed for the most part anyway but could be helpful if they healed the closest bots.