Sony makes Vaio desktops and Vaio laptops. Which is yours?
It might help for us to know the type of burner you have and its capabilities. Download and run Nero InfoTool. This will tell us a lot about your dvd drive. http://www.nero.com/enu/support-nero8-tools-utilities.html It is free to use.
If you need a dvd burning program I suggest you look at ImgBurn, which is free to download and use. www.imgburn.com or as an alternative CDBurnerXP, also free: http://cdburnerxp.se/
Now on to the dvds you are trying to copy. Are they commercially made movies? If so we can help with that as well.