Whatever email client you use , if you have downloaded them to your system and they are no longer on a server you can generally call your local computer support company for help.

Just because you deleted an email does not mean it is gone, even deleting the email account is not cause for concern, however it is important that to prevent time consuming repairs to email folders in order to recover a particular email or an attachment, that you stop using your system and make a note of any information that will help speed up the recovery.

Remember emails today are full of either personal ,confidential or business details and documents etc which can be lost or stolen.

And often in the business world an e-mail document needs to be kept as a record of order or confirmation of a contract for example

If they have been lost they can be found

If they have been stolen you can prove How, When and by Whom.

Contact your local IT professional for more help with your e-mail problems