I would take her to be checked out by my doctor, if it were me. It's a bit worrying - but I'm sure a doctor would be able to help. (Not that I think all doctors are wonderful! - but you need to be careful with children) It could be her ears, or anything. It's been a few days, so I think it's the...
The venting outside is to prevent condensation and, as someone else has said, eventually mould.
You can actually buy (here in the UK anyway) dryers with inbuilt condensers which means you don't need a vent anyway. I have one of those - I usually leave the door or window open a little though, as...
There's some info here. http://www.whitehouse.gov/about/tours-and-events
You have to apply through your Member of Congress though.
There's this as well http://www.whitehouse.gov/about/interactive-tour