How to get everything off of the server?

Okay, I now have the new server, I only have 3 days before the server is shut down - how would I get everything off of this server and onto the new server? I especially need the databases.

Keep in mind that I have no access to HTTP, Exim, MySQL, FTP, CPanel, or anything else. I am hanging on by a thread. Please.

 

 

 

 

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