I can access my server through the ISPConfig control panel, FTP, shell, etc., but none of my sites work! Website files were uploaded in a site's root folder rather than the /web directory. All the original files in the web directory were deleted. I am not sure if this is the cause. It just stopped working.
This can have more causes, but i've to start somewhere. Check which processes are listening, with netstat -tap. If you did not change anything about your server-configuration, it is possible that Apache2 is down. If so, try to start it with the command /etc/init.d/apache2 start
You mean that the content of all sites has moved from the web subfolder which is the correct location for website files to the website root folder in all sites?