Your ‘dxdiag’ or direct X diagnostics is actually not related to your projects, but rather provides information on your computer like your operating system version, your graphics card, your processor, drivers and driver dates, etc…
This might be one of those hard learned lessons where you make sure to create a copy before deleting any folders or files within your projects. This is generally the case when working with anything that is important and you believe deleting the files/folders will resolve the issue.
Unless you can load the backup in your 4.12 version then there isn’t much in the way of anything I can do. If you haven’t emptied your recycle bin/trash then you might be able to restore the deleted items that way.
Are you unable to open the 4.13 version at all, and does it give you the crash whenever you attempt to open that map/level?
Thanks,