This is an excellent use of the theme. Mad props. I think this could be expanded if you had more questions. You'd have to track which ones the player's learned already and remove them from the pool of available questions, but it could for sure work. It was fun trying to figure out what all my friends were up to. 5/5 would recommend.
! SPOILER WARNING !
My only complaint is how do I know if it's Cynthia or Lucy's birthday? It looks like they both had one on the same day.