Problem 1: Bot's current turn had more than lethal. Two active minions on board. One minion went face. Bot conceded, because opponent had lethal next turn.
Solution 1: I have since unchecked the box "Conceded if opponent has lethal", but it would be nice if the bot only conceded at the end of its turn after attacking with everything.
Problem 2:This one is with the silverfish AI (I think), in that if the opponent has lethal, the bot just plays like normal. In my case there were 2 enemy minions and I had a divine shield+taunt minion in hand. The Bot decides to play a random non-taunt minion, then concede.
Solution 2: Have Silverfish calculate the opponents next turn and if playing the taunt minion is the only way you live, then play the taunt!