I know what you are struggling with - I've been there a lot of times
So here another hint: in your ftp client, always connect to a IP, not to a domain name.
Are you sure, you're looking at the correct server for permissions? Create a file like "info.html" in the htdocs root folder of both. Write something usefull into them, like "Old" or "New"
I guess the first thing to do is to sort out which server is which. Then: copy all of its contents to the new server, including database. Edit all config files with new path and db connections, that should be it.
By the way - I didnt expect it to be evo