The main apache conf file looks good, except the line:
#Include /usr/local/apache/conf.d/*.conf
(last line of the file)
Uncomment it, stop/kill Apache and then try to restart it manually.
If your sites are inaccessible still then make sure the ports 80, 443 are used by Apache only:
netstat -nlp| egrep "nginx|httpd"
If the ports 80, 443 remain unused then log into CWP admin and double check CWP is configured to use Apache only (WebServer config --> Select WebServers), switch to "Apache Only" if there is something else, rebuild vHosts and restart Apache.