Dover1104 Where are you trying to sign in? The "failed to launch game" error is from the EA App, so it shouldn't have anything to do with the Sims 3 launcher. Does the EA App load for you if you open it by itself? Please try that, then let me know what happens if you press Play from within the App to open Sims 3.
If the App won't open, or won't load properly, try forcing it to update. Go here:
C:\Program Files\Electronic Arts\EA Desktop\EA Desktop
and launch the EAUpdater.exe. Then restart your computer and try the above again.