In order to solve the OTA download problem when you don't have the necessary service book, use a standard web browser and change its UA (user agent) to reflects a Blackberry device. I'm using a Firefox with 7290 UA and can download 99% of the OTA apps.
As for the GMail, use the Google Mobile Updater which allow you to install the latest Google apps to your device. Just make sure your device is updated with OS 4.1.x
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