I'm a subscribed user (a Backer), but I cannot view my data older than 60-days after I did deletion and re-installation of ArcApp

The trick here is to tap the “Restore” button on the Backer view. That will request your subscription/purchase information from the App Store, to fill back in the missing knowledge of your status.

Let me know if that doesn’t work! It can’t be done automatically by apps, because the request usually requires a password / FaceID / TouchID. So it has to be a manual button press to get it done. But it usually works reliably.