There is different concept involved here:
-the first thing is Fast App resume which is a new feature of windows phone 8 that you can enable so that when you press the application tile it don't restart your app but keep the same instance (by default it will just kill the app and just recreate a new instance exactly as if the app was never opened). You can find more information about that here.
-the second concept is Fast App Switch and Tombstoning. You can find more information about the application life-cycle here. Basically what happen is when you press the windows button or navigate to another app your app will go in dormant state. In this state the application is not running but is still in memory. When you go back since everything is still in memory everything should as it was left off. The main case to handle in case of fast app switch is the fact that when your app is deactivated all the network connection are killed so you should make sure that when you go back you don't display any web error message dialog and that you redo any failed web request.
The second possible state of your application is that after the app is in dormant state you open a couple of app and the device don't have enough memory, then it will choose to tombstone your app. In that state your app is removed from memory so anything you have not saved will be lost. When you go back to your app it will go back to the page where the user previously was and recreate it.
That mean that to handle this case before the app deactivate you should have :
- save any context specific data that you might not have been passing by navigation parameter.
- maybe save what the user have been currently doing (for example if he is currently entering a long text, it might be better to save it so that the user don't have to reenter it from scratch)
- saving the current scroll position or thing like selected items could be a plus
Also when the app resume you have to make sure that you re-query all information that you need. An example of something which would break would be if you load some Data (from a web server for example) in OnNavigatedTo of the main page and then just reuse the data on the detail page without re-querying it. If you are on the detail page press the start button and then do some other and the app tombstonne, when you go back to the app than the data will not be available (since the memory has been "cleared" and onNavigatedTo of the main page is not called since it will navigate back directly to the detail page).
You can use the page state and application state to save whatever information you need to handle properly the tombstoning case. Basically there are dictionary to which you can add some object which will be serialize (so you need to make sure that whatever object you try to save is serialisable) automatically when the app is deactivated.
To test the Tombtonning case easily, what you can do is in the project properties, in the Debug Tab check the check box "Tombstone upon deactivation while debugging". Like this it will always tombstonne the app when you debug and press the windows button or go to another app. To check that it is really tombstonning, when you go back you should see your app showing a resuming screen for a few second (while in the tombstonning case it's almost instantaneous.