Kill ITunes Splash Screen
You can fully close an app double tapping HOME to get the recent apps list (note that unless you are at the home screen, the currently running app won't be listed) and then tap and holding on any App icon until you get the wiggles - at this point hit the minus sign against any app in your recent list.  This will either stop the app, if it is currently performing any background task, or remove the 'fast resume' saved state so that upon the next start it will not resume where it left off.