To sum up my fix. Checked:
I checked my on-line google calendaronline Google Calendar settings to ensure mobile syncing was active. It was.
On my Samsung Galaxy S4, I uninstalled google calendarGoogle Calendar & re-installed it a couple of times. Still kept receiving the syncing message.
So I removed my googleGoogle account & reconnected. That's when I received the message "The process android.process.acore has stopped".
Based on usersusers' comments, the best fix would be to reset to factory. Which I did and all is good except for losing SMS history