I made a stupid mistake while backing up my files on the old server and uploading them to the new one. That's the problem when you have 2 similar SFTP windows (1 for uploading, 1 for downloading) and taking part in multiple chat sessions. You tend to not notice that you're uploading to the server you're supposed to be downloading from.

So this is the default WordPress template you're seeing right now. I remember making another backup copy at work so in 9 hours time, fingers crossed, things will be back to normal.