You have to see something in nginx logfiles, if not then your requests are not reaching nginx but are blocked by something else in front of nginx.
btw.:
access_log /var/log/nginx/hu.MYCOMPANY.MYSITE/access.log;
access_log on;
Is not helpful for logging :-) unless you wanted a file named 'on'
btw.:
access_log /var/log/nginx/hu.MYCOMPANY.MYSITE/access.log;
access_log on;
Is not helpful for logging :-) unless you wanted a file named 'on'