If your e-mail account was hacked and because of that your money was moved out from an exchange, it will be interesting to prove it's not you who sent out the money.
Also it's interesting how you know who the recipient address belongs to.
The story sounds strange. And I don't know who will be able to really help you.

The only things you surely have to do next are:
* don't keep on exchanges (and other web services) money you don't afford to lose.
* use 2FA
* basic security: don't reuse passwords (and change them), use a better/safer e-mail service, don't keep sensitive info in your e-mails, check/disinfect your computer, don't use public places to access sensitive e-mail or exchanges, don't use public WiFi.