I don’t get the same screenshot as you. It seems like there are several ways to get the font kit with all necessary files.
After unzipping I have for each font type: .eot, .svg, .ttf, woff and the stylesheet.css
But what to do next? I’ve found some tutorials on web but I’m not sure how to apply this to your themes.
Do I add these files the font folder or do I replace the current files (via FTP)?
What to do with that stylesheet.css? Copy somewhere? Open somehow?
It seems like there are always several fonts in the theme code. The main one and some backup fonts. There is no need to install the backup fonts? What font are these? (and there is no Times New Roman in the theme folder?)
Maybe a more detailed video tutorial would be of great help. It will certainlly be the same for all your themes.