Your Adobe product purchase history has nothing to do with Flash player install
Adobe Flash Player is a free software.
Make sure you have downloaded the right Flash Player as Flash Player for Firefox is different than one needed for Internet Explorer.
Please download it from : http://get.adobe.com/flashplayer/otherversions/
In case you still face issues please refer the KB : http://helpx.adobe.com/flash-player/kb/installation-problems-flash-player-windows.html