2) No, in addition to your master degree (and not sure if statistics would be sufficient) you need an additional year of teacher training.
3) Yes, if you meet all the criteria, but I believe it is expensive.
The process for training is as follows: Do your Bachelor and Master in the subject you want to teach (4-5 years), then add on 60 ECTS points for your teacher training (1 year)
It is a bit shorter if you want to teach at a Sekundarschule (Grades 7- 9)
This site may help: http://www.swissuniversities.ch/en/h...about-studies/