It's great that you want to reform now, but it's a bit late, at least for this account. They won't remove a punishment unless it was an error on their part. It's better to change your attitude when they gave the temporary punishments that lead up to this (assuming it wasn't automatically escalated, as they do in the most severe cases). Most likely this was the result of a consistent pattern of negative behavior.
However, you can always take this into a new account and benefit. You'll probably find that you enjoy the game more when you are able to play without going off on someone. If someone wants to insult you, don't give them your attention, just mute them. If you feel like bashing a teammate for playing poorly, whether intentional or not, try to get through to them in a positive manner because insults never made anyone play better. If you feel someone needs to be reported, then do so; you don't need to ask others to (it's considered harassment) because punishment isn't calculated per report, but per match (which means your 1 report is roughly just as good as 9).