Hey Tiger! Welcome to the fam! :D
I myself don't live in Alabama but here are a couple links I found:
https://www.facebook.com/AlabamaSmashLeague/
That's a Facebook group full of Smashers in Alabama, and they seem to talk about monthlies and casuals and all that good fun stuff, so hopefully that's helpful. As for Birmingham Brawl, while I can't provide you with any current links: it seems to happen every summer, sometime in July (usually the end, like the 30th), and the address is almost always the same. Here's a link to the Facebook event page for the most recent brawl:
https://www.facebook.com/events/527693427436940
It's held yearly by a guy named Justin Joe, if that's any help.
I've said this word like 20,000 times now smh but hope this helps! Let me know if you need anything more and I'll do my best!
EDIT: Ah, sorry, didn't include anything about tournaments. I know you can find weekly/month stuff on pretty much Alabama Smash group; I don't know of any majors taking place there at the moment though.