I don't have much of an education in music theory myself, but I've been writing chiptunes for 12 years.
Something I'd recommend, is downloading a version of ModPlug Tracker or OpenMPT (personally I use version 1.16 from 2004, which is maybe less complicated than the newer versions) and downloading some songs from modarchive.org to see how other people have tracked. That could help you, especially since you're just getting started, to look at the patterns and see what other people have done.
For chiptune artists on the Mod Archive site, I'd recommend Radix, Ghidorah, Stalker, 4mat, and Zabutom. You should be able to find a bunch of oldschool module chiptunes there.
Edit: also you could look for FamiTracker source files from artists like FearofDark, if you're looking to work with FamiTracker specifically.
Hey Feryl! Thanks for the advice, I'll install OpenMPT in the morning. Thanks for the modarchive.org link, I wasn't aware of the site. I'll also take some time to look into famitracker. Any advice from others is still welcome.