Should probably note that “DMZ” in this context means a separate VLAN. Because the term is also commonly used to mean “DMZ host” where a router exposes a machine directly to the Internet. You want the former, not the latter.
But, more to the point, a beginner really shouldn’t be exposing anything to the Internet. 🙂 Running a public service as a person who doesn’t know how domains work will not end well.
If you’re not using a domain for email, the MX record should not be left empty, as it can still be used maliciously.
Following a guide like this (it’s one of many) will ensure it’s not used at all:
www.mailhardener.com/kb/hardening-unused-domains