Either Apache or nginx on your install is interfering with lighttpd. Neither nginx nor Apache are supported servers, but there are some user solutions posted in Community Help here.
If you look in your log file at /var/log/lighttpd/error.log you will see the following (this is the output I see in your debug log, there may be more in the actual file):
*** [ DIAGNOSING ]: contents of /var/log/lighttpd
-rw-r--r-- 1 www-data www-data 26136 Aug 15 13:08 /var/log/lighttpd/error.log
2020-08-15 11:07:38: (server.c.1464) server started (lighttpd/1.4.53)
2020-08-15 11:08:21: (server.c.958) [note] graceful shutdown started
2020-08-15 11:08:21: (server.c.2059) server stopped by UID = 0 PID = 5141
2020-08-15 11:08:21: (server.c.1464) server started (lighttpd/1.4.53)
2020-08-15 11:08:21: (gw_backend.c.1424) invalid "bin-path" => "/usr/bin/php-cgi" (check that file exists, is regular file, and is executable by lighttpd)
2020-08-15 11:08:21: (gw_backend.c.328) child exited: 2 unix:/var/run/lighttpd/php.socket-0
2020-08-15 11:08:21: (gw_backend.c.607) gw-backend failed to start: /usr/bin/php-cgi
2020-08-15 11:08:21: (gw_backend.c.609) If you're trying to run your app as a FastCGI backend, make sure you're using the FastCGI-enabled version. If this is PHP on Gentoo, add 'fastcgi' to the USE flags. If this is PHP, try removing the bytecode caches for now and try again.
2020-08-15 11:08:21: (gw_backend.c.1510) [ERROR]: spawning gw failed.
2020-08-15 11:08:21: (server.c.1472) Configuration of plugins failed. Going down.
2020-08-15 11:08:22: (server.c.1464) server started (lighttpd/1.4.53)
2020-08-15 11:08:22: (gw_backend.c.1424) invalid "bin-path" => "/usr/bin/php-cgi" (check that file exists, is regular file, and is executable by lighttpd)
2020-08-15 11:08:22: (gw_backend.c.476) unlink /var/run/lighttpd/php.socket-0 after connect failed: Connection refused
2020-08-15 11:08:22: (gw_backend.c.328) child exited: 2 unix:/var/run/lighttpd/php.socket-0
2020-08-15 11:08:22: (gw_backend.c.607) gw-backend failed to start: /usr/bin/php-cgi
2020-08-15 11:08:22: (gw_backend.c.609) If you're trying to run your app as a FastCGI backend, make sure you're using the FastCGI-enabled version. If this is PHP on Gentoo, add 'fastcgi' to the USE flags. If this is PHP, try removing the bytecode caches for now and try again.
2020-08-15 11:08:22: (gw_backend.c.1510) [ERROR]: spawning gw failed.
2020-08-15 11:08:22: (server.c.1472) Configuration of plugins failed. Going down.
2020-08-15 11:08:23: (server.c.1464) server started (lighttpd/1.4.53)
2020-08-15 11:08:23: (gw_backend.c.1424) invalid "bin-path" => "/usr/bin/php-cgi" (check that file exists, is regular file, and is executable by lighttpd)
2020-08-15 11:08:23: (gw_backend.c.476) unlink /var/run/lighttpd/php.socket-0 after connect failed: Connection refused
2020-08-15 11:08:23: (gw_backend.c.328) child exited: 2 unix:/var/run/lighttpd/php.socket-0
2020-08-15 11:08:23: (gw_backend.c.607) gw-backend failed to start: /usr/bin/php-cgi
2020-08-15 11:08:23: (gw_backend.c.609) If you're trying to run your app as a FastCGI backend, make sure you're using the FastCGI-enabled version. If this is PHP on Gentoo, add 'fastcgi' to the USE flags. If this is PHP, try removing the bytecode caches for now and try again.
2020-08-15 11:08:23: (gw_backend.c.1510) [ERROR]: spawning gw failed.