Yep, that would be the first thing one would need to find out, are these email send by your account or are the email just stating your address. And email can outwardly display any address, even looking like you send it to yourself, but if one looks deeper into the innards one sees that's actually a totally different server and account sending.
Are you actually sure your account got hacked and not somebody else's you know, or somebody might have caught themselves a virus.
The free email providers I use are all German, so I'd don't think that'd be of help. (Got the part about Google = data kraken right, they are too "oh, we didn't know we were doing anything wrong and it's not actually bad, no idea why you are all up in arms about us storing/revealing your data" on too many things.)
