WinCardio 5.0 has been developed to run only on Windows XP and Windows Vista. If you can't install and run it on Windows XP, use the package provided by Microsoft to update Windows Installer and try again.
In order to run the application on Linux Mint, I suggest you use Wine. It is a free of charge application that allows you to install Windows applications on Linux, BSD, Solaris and Mac OS X. Also, you can use VirtualBox.