The Trio of Disaster

If you could invite any three people (fictional or real) for tea, who would you invite?
Well, I decided to make it quite a bit of an interesting gathering...
Firstly and foremost, I would invite the Doctor. I would try to reach the Ninth Doctor, but if any of the other regeneration want to come, too, that's fine (they are the same person, although this might lead to a bit of a paradox). We could all have tea in the Tardis since there's got to be a tearoom somewhere. It'd be grand to see the Tardis and maybe even fly it. Of course, I might end up crashing. I'd discuss absolutely everything with him whilst he'd get the Tardis mug. It'd be a shame if he didn't.
Secondly, I'd invite Sherlock Holmes. I like to think he'd show up if I perhaps sent him pictures of the Tardis. A mystery worth solving. He'd be so baffled - also a reason to invite him. There's no way we'd be able to make 'small talk' so in place of that we'd need to find a fascinating topic.
Lastly, I'd invite Castiel (I hope many of you are aware of who this is - if not, he's an angel from the show Supernatural). I would ask the Doctor to see if there was a way he could fix Castiel's fading grace.
This would be the biggest tea party of the decade, at least.