Your chocobo's skill tree is listed under 'Companions' in the Character menu (the first menu button on the right) - prior to 2.1 it was found through clicking the small chocobo icon on your character's profile screen, but that's since been removed.

To blacklist bots, simply use the text command (you can macro this by the way): '/addblist < r >' (without the spaces between the brackets) - this will then automatically add the last person who sent you a tell (ala, a bot), to your blacklist without having to add the name manually.