If you export your world then you don't need world files, just exported one that is in My documents/EA/Sims3/Exports and you can share that exported file you need for installation, not whole bunch of CAW files
With Seasons and Supernatural there are couple of bugs with CAW including exported worlds not appearing as installed. There is workaround to that:
-Install your world - double click on the file in Exports folder or trough the launcher.
-Go to your DCBackup folder and find latest and biggest file installed. (It has long coded name.package exptension)
-Rename that file into what you want your world to be named, and change "package" into "world"
-Copy that file into Program Files/EA/Sims3/GameData/Shared/NonPackaged/Worlds
(I copy that file also into My Documents/EA/Sims3/Installed worlds)
So now when you start your game you can see it in main menu to start new game with it.