sendmail -bp
or
mailq
to check whats in the sendmail queue
The sendmail logs should be located:
/var/log/maillog
or /var/log/messages
if not, grep the syslog config for mail
cat /etc/syslog.conf | grep mail
This should give you some filenames of mail logs.
In my case, the server was using rsyslog so the adjusted command
cat /etc/rsyslog.conf | grep mail