syslogd appears to be running, but not klogd which logs kernel firewall messages to syslog. You should ensure that klogd is running
nano /etc/init.d/syslog
Search the line below
passed klogd skipped #daemon klogd $KLOGD_OPTIONS
Replace it with lines below
daemon klogd $KLOGD_OPTIONS
Uncomment
#status klogd
#killproc klogd
Restart syslog
/etc/init.d/syslog restart