There is no information regarding the compatibility of the product with this operating system. You can obtain this kind of information by accessing the client area from the official website.
In order to transfer your database, it's advised to export it to a format and then upload it into the new computer. The program can't be transferred and you need to perform a fresh installation on the new computer. To export your files, you need to open the application and go under File > Export > SSG Data. From there, select the stocks that you want to export, select a destination folder and click Start Export.
For more information, check the user manual. This can be found by going to Start > All Programs > NAIC Software > Stock Analyst > NSA Manual.