Norton won't open

I am running Windows 8.1 at the moment.  I purchased and downloaded Norton 360 on 7-31, it failed.  I didn't realize it wouldn't remove an older version, so I ran Norton Removal tool.  Seemed to work and I was able to download new version.  However, Norton will not open when I double-click the icon.  I see others are having a great deal of trouble with Windows 10, I haven't upgraded to it yet.  What do I do?