Post the chatlogs please. Also, have you been punished before? If you feel that the ban is not justified, you need to contact Riot-Support and explain your case.
I got a 14 day ban as well because I threw a fit for 5 seconds right before muting everyone else.... had a clean record before too, I don't think that matters anymore though.
Don't say the word silly. Just report them without saying a word that offends you or is offensive. It's common sense all through school when you say but he called me a "^%&^#&" that you're not supposed to repeat it.
you cant get banned for having an inapropriate name
he wasn't the one with the inappropriate name, he got banned because he called someone with an inappropriate name
then say "person's champion here" to refer to them. Don't say their name, and report them for having an offensive name.