adsr96 Probably. But I don't get what's the in-addr.arpa that's resolving.
Suppose your IP is 1.1.1.1 and your hostname is smtp.test.com:
- ping smtp.test.com should resolve to 1.1.1.1
- nslookup 1.1.1.1 should throw name = smtp.test.com
Meaning it should be resolvable from both ends for the email to work.
You also need port 25 opened and working on your server. Most providers block it.