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If you are Experiencing issues with a Pi-hole install that has non-standard elements (e.g you are using nginx instead of lighttpd, or there is some other aspect of your install that is customised) - please use the Community Help category.
Expected Behaviour:
CentOS 7
RPI4
Pihole install works installs without error. I should be seeing in the Web Interface Active and FTL is Online.
Actual Behaviour:
Status in Web Interface is unknown.
FTL is Offline.
DNS service is not running.
Not officially supported does not mean it will not work.. but may require additional tweaks and manual edits which is beyond the scope if support in most cases.
With reviewing your debug log, the next logical step I would recommend is getting your PHP version updated to a version that is not EOL. You are on PHP 5.4.16 which has been end-of-life since Sept. 2015.
I would try to get into the PHP 7.x versions if possible.
if you review your logs at /var/log/lighttpd/error.log you will notice some PHP errors that are most likely related to your PHP version being very out of date.
(mod_fastcgi.c.421) FastCGI-stderr: PHP Warning: file(http://127.0.0.1:80/admin/scripts/pi-hole/php/queryads.php?domain=localhost&bp): failed to open stream: HTTP request failed! in /var/www/html/pihole/index.php on line 147
2020-06-23 14:55:03: (mod_fastcgi.c.421) FastCGI-stderr: PHP Warning: array_filter() expects parameter 1 to be array, string given in /var/www/html/pihole/index.php on line 148
2020-06-23 14:55:03: (mod_fastcgi.c.421) FastCGI-stderr: PHP Warning: array_values() expects parameter 1 to be array, null given in /var/www/html/pihole/index.php on line 148
2020-06-23 14:56:20: (mod_fastcgi.c.421) FastCGI-stderr: PHP Warning: require_once(/etc/zabbix/web/maintenance.inc.php): failed to open stream: Permission denied in /usr/share/zabbix/include/classes/core/ZBase.php on line 278
2020-06-23 14:56:20: (mod_fastcgi.c.421) FastCGI-stderr: PHP Fatal error: require_once(): Failed opening required '/etc/zabbix/web/maintenance.inc.php' (include_path='.:/usr/share/pear:/usr/share/php') in /usr/share/zabbix/include/classes/core/ZBase.php on line 278
In that situation my recommendation would be to purchase another pi with a wired connection and install one of the supported ARM distro I have linked above. Likely cheaper than your Zabbix support.
EDIT: you could run cli-only if you can live without the frontend.