Got banned... somewhat wrongfully
But i get it... this needs to be followed.. smartest thing said on this site
Several things stand out here.
Getting reported by one player in a game is about the same as getting reported by your whole team. That is to say, the system takes number of games reported into account more than number of reports in a game. This is set up specifically to mitigate the situation of a premade ganging up on somebody.
You say there's nothing to do but mute them and tell them to shut up. In reality, the only thing you should do is just mute them. If they're just spouting toxicity or arguing, there's nothing of value in chat that you're missing anyhow. And as far as your communication goes, pinging is perfectly sufficient to communicate whatever you need to in game. Heck, most players will play most games without saying a word in chat.
To add to the above, you didn't even just tell these people to shut up. You continued to engage with them the entire game. You stooped to their level and were an equal contributing factor to the negative environment of the game.
Don't tell people you'll report them, or use reporting as a threatening tool. It's pointless, only causes negativity, and actually counts as a form of harassment that can get you banned.
Retaliation is never okay. You are held responsible for your own actions. You have a choice in how you're going to handle these situations, and you chose poorly.