Sure! I have been the league moderator for years, btw.
I recommend looking over the league rules (there is a lot there) here: https://www.axisandallies.org/forums/topic/28660/league-rules
It’s actually easy to dive in and there is no registration. Just play someone in the league section of the forums, and when the game is over, the loser reports the result in the “post game results” thread. Then I record it as an official league game, and you can see the standings in the standings spreadsheet. There is a separate, “stickied” thread for that in the league section. I think all questions are answered in the league rules page, but if you need clarification on anything, I’m here. You can Private message or post somewhere, private message would be preferable to keep the boards cleaner.
Forgive me if I assume anything, I haven’t been a new player to the league for many years.
You shouldn’t have difficulty finding an opponent, when you post in this thread (as you basically already have)
We only play the Global 1940 game (made circa 2012) in the league, but there are 2 modified versions of it that are played here as well.
I recommend looking at the standings spreadsheet before agreeing to a game, so that you can pick your “difficulty”. Levels are M, E, 1, 2, 3, so 1 is basically your average league player.