So write about it herself Migration Service in Sweden: You should be aged 18 to 30 years and be able to show that you have a distinct interest in or use for Swedish language studies. A previous period spent as an au pair in another country immediately prior to the planned stay in Sweden could reduce the chances of you being granted a permit in Sweden. The reason is that this could be an indication that it is a question of regular work as a nanny or a similar porition and not as an au pair. By the way, your application for a visa only for 2 months in this family, further evidence for the migration service that you do not have serious reasons for participation in the au-pair in this country. Because if you wanted to learn the language and get acquainted with the culture of this country, it seems, would be interested in an annual, not monthly program 2. Your argument that you bring about good in our family – for the migration service is not interesting. Now conclusions.
I personally do not recommend this country for you. No difference in 1 year you have found a family or for 2 months. Argument – a high probability of denial of a visa (not 100 interest, of course, but very high). If you still want to take a chance (you are eligible, as the only risk your time, your money and your nerves), and you really like the family (the one at 2 months), write a letter directly to the Migration Service in Sweden with the question of whether you can get a work permit to the family in such a short time.