Unjustly Banned

I have an alt account like many of my fellow league players i seldom play on this account but i do try to now and then. i get an email out of the blue 1 day that my account has been perma banned. this came as a huge shock to me like i stated previously i hardly get the chance to play on it. i follow up with this email with several others and trying to figure out why my account is being banned. The reasoning is i use a script i guess... I personally have never used a script wouldn't know the first thing on how to use one and i have no clue what they are talking about. im silver 5 i have good games i have bad games but in the end im silver at max? I am more dissatisfied with the fact that i just want some kinda of proof or evidence like did my account get hacked and this happen or what. i would think they if they had "stone cold: proof that they just bant he ip no the account cause in my mind once a cheater always a cheater but then again iv never cheated. i offered to share my computer witht hem so they could look for any such program and yet i still get nothing. What i am asking of my fellow players is help me .. Stand behind me and help me get my alt account back please.I dnt want to have to level a new account from 1 to 30 please is all i ask for your help and support Thanks