I would try with the following basic settings to begin with, just to see if that works.
Kod:
NameVirtualHost *
<VirtualHost *>
DocumentRoot /home/www/sveg.servemp3.com/
ServerName sveg.servemp3.com
ServerAlias www.sveg.servemp3.com
</VirtualHost>
<VirtualHost *>
DocumentRoot /home/www/privat.sveg.servemp3.com/
ServerName privat.sveg.servemp3.com
ServerAlias www.privat.sveg.servemp3.com
</VirtualHost>