So, you're mad cause you were talking bad and you got caught? A lot of the cases on the boards with users like you, try to justify that their evidence is false and we all should believe them. Knowing that from the chat they have from their games it's obvious the ban was reasonable... If you really think you didn't deserve a ban, then please, consider contacting Riot through a ticket and it may work out.
From what it seems... you're upset because you had a bunch of honors from a lot of people because you main support... and you think from how many honors you've gotten, you shouldn't be banned for being toxic in one game because you were honor lvl 5? Misbehaving generally ruins your reputation as a human being, especially if you're an adult.
OP, I don't think you realize it doesn't matter how many honors you have, the system and the people will see what you wrote in the chat and react to it. You really can't tell someone they're a %%%% without them reacting negatively to it...
P.S. (show us the chat log if you still have it please. I think I can understand it better with what you're dealing with...)