I am using OS X El Capitan Version 10.11.5 and I use Safari as my browser. Not sure about 32 or 64 bit. Where do I find that info?
That looks pretty current. Either your CU is failing to correctly detect Flash (this seems unlikely if it worked in recent history), or a change in Safari has helpfully disabled Flash for you.
The following instructions might be useful:
Enable Flash Player for Safari
You can confirm by going to a simple Flash site like the one below. If you see animation, you're running Flash, it's just not being detected by the website, and they need to fix their code.
http://www.homestarrunner.com/
If that doesn't help, a fresh install of Flash Player might help Safari to find it again:
Uninstall Flash Player - Mac:
https://helpx.adobe.com/flash-player/kb/uninstall-flash-player-mac-os.html
Then grab a pristine installer from here:
http://get.adobe.com/flashplayer/
If you're still stuck, let me know. I'll get an email notification when you reply and will try and get you going.