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Thanks for the feedback.
This is Tim with Microsoft Office 365 SharePoint Support.
Unfortunately, if you do not have access to the account the emails were sent to, you will not be able to retrieve any of the messages. You will want to edit the "contact us" form and change the email address so that you can start to receive the emails that are sent to you.
I will continue to monitor this thread if you have any additional questions.
Microsoft Office 365 SharePoint Support