A hosting client tested an email with mail-tester.com, too, and I see that it shows:
-3.888
HELO_DYNAMIC_IPADDR2
Relay HELO'd using suspicious hostname (IP addr 2)
-3.888 is a big hit to take! But I've googled and not finding anything on HELO_DYNAMIC_IPADDR2 other than a bunch of examples, and articles from 2009 that don't seem relevant.
Any suggestions on what I can do to fix this problem?