Hi - it's been a while since I've been on the forum, but there's a big new release going out today.
As of the latest version of the app, all new (i.e. not already downloaded) boarding passes will be presented via Passbook. This has been a much-requested feature on the app and will pave the way for more upcoming enhancements.
The first of these will be notifications on the lock screen - which should be coming next Tuesday. Three hours before your flight, you'll see a link on your iPhone's "lock" screen which will open your boarding pass within Passbook. This should make it much easier for you to get to your boarding pass.
There's more on the way, including quite a few enhancements to the Android app over the next few months (which we are intending to release on BB10 devices very soon).
As ever, if there are any questions - please let me know.