I added each of the applications back in one by one to determine which one was the offending culprit.
None of them were, after re-installing Razer Synapse, Logitech Gaming Software and re-enabling the Logitech automatic updates, Voice Attack still worked.
*****> The Important Part <*****
As I was texting my brother, it hit me; I had made one more change. I had set the User Account Control Settings to Never Notify but had not yet rebooted my system before I uninstalled the other software.
So, I set the UAC Settings to Always Notify and rebooted. As I suspected, Voice Attack would not execute key presses or mouse commands. I changed the UAC back to Never Notify, rebooted and Voice Attack works. I also tested the UAC default setting with a reboot and was successful.
My system was originally set to UAC Never Notify because it was annoying when I was doing alot of installations a few months ago. However, something with the permissions must not have applied correctly. I recommend others experiencing a problem getting Voice Attack to work set UAC to Never Notify; Reboot and run test of VA. Re-set UAC to default; reboot and retest.
All of this testing was performed with Voice Attack run as administrator.
Good Luck.