Try refreshing the iCal plist file. You will find the com.apple.iCal.plist file in your Macintosh HD/Users/yourusername/Library/Preferences Folder. To get to the Library folder use Finder>Go>Depress the "Option" Key and select LIbrary. Quit iCal, drag the .plist file to your Desktop. Then log out/in or restart.
This has been interesting. Apparently, when double clicking, the "new event" was actually created (but not on the computer) but it did migrate over to my iDevices. However, If I added a new event on my iDevice, it would not populate back to the MacAir.
I did your advice, and everything is working as it should now.
A big "Thanks to you" for the solution!