Does Corona have a way to merge app contact data with the iPhone or Android's contacts?

Also can an app in Corona create/send email through the iPhone or Android's built in email?

Finally, is there a way to add your own calendar data to the Calendar on the iPhone or Android's built in Calendar as a specific calendar and then to allow interaction with the data on the calendar (ie if it's changed in the Calendar then those changes reflected in the app's own database too).

Thanks for any direction and help on this!

I don't think any of these are available at the moment. You can always request features.

The email seems the most possible. You could try opening a web overlay and send an email there.

Possibly same answer for the calendars if the user has access to google calendars.

Also can an app in Corona create/send email through the iPhone or Android's built in email?

You can send email like this:

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system.openURL("mailto:frankzappa@isthebest.com")