Sorry, I can't answer on the first question, but as for schools, all of the international schools in Geneva that I've come across have been non-selective. They may well ask for the last 2 years of school reports which is no biggie.
Seriously don't worry about the schooling issues - Geneva is so transient that there are always places coming up.I simply advise you to do a VERY thorough research and find the school that you fell will best suit your
daughter.
Feel free to e-mail me via my profile on the subject, I'd be happy to help