You won't draw two cards, because that effect is part of a reflexive triggered ability that triggers only if the target opponent gains control of Yes Man
You cannot cast Fetch Quest, since it has a mana value of 7
I sympathize with you on feeling like we must hoard everything, a dragon sitting atop a mountain of gold, reluctant to let go of even a coin, for it is ours and it is precious
(After your opponent declares an attack, you may rest this card to make it the new target of the attack.) [Once Per Turn] If this Character would be removed from the field by your opponent's effect, you may rest 1 of your opponent's Characters instead
The Bad Almost every card in this category can be pinned by the amount of effort required to make the card good
To get the ball rolling, The Third Doctor also makes a Clue, Food, or Treasure token when he comes into play, automatically making him a 3/3 when you play it