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1. Eee2e is only is the sender en receiver are both using Tutanota. But my emails are stored encrypted on the servers of Tutanota, so no one can read them. Also not Tutanota. And yes if I send a email to a NON-tutanota-user the mail is of course NOT encrypted... that is no rocket science.
2. Headers are not encrypted BUT HEAVILY stripped by Tutanota... Did YOU ever check that? I did, and it is the true, they do that!