Sorry, but hymns are now always loaded dynamically, which requires internet access.There was a valid reason the developers made this change, but I don't recall what it was — it was linked to some other important functionality.

We had one other use report duplicate notifications after updating. Deleting and re-installing the app fixed it for him. 

This should now be working as of the 4.0.3 update.

This should now be fixed with the 4.0.3 update.

All pages of a multi-page PDF now print successfully. 

Sorry, but that is not possible. The app stores only include the latest version of apps.

As long as they have a web browser and internet access, they can open the shared link and play it on their phone or computer, without installing the app. 

You are clearly misunderstanding something. Users can share one sermon. The share link does not send the whole app. If someone does not have AC Central installed, they need to install it first to listen to it, or they can choose to listen to it in the browser version of AC Central.

Please provide more details as to what you are trying to do and what happens. Also include your phone model and version of the operating system.