I'm banned for ''using illegal 3rd party programs'', really?

So, I'm not sure how to start this off, but let me start with that I've NEVER used any programs or cheats. the closest thing to using a 3rd party program for league of legends is lolking and LoLSUMO (which ive only used like 5 times, not sure if it's illegal tbh, pretty sure it's NOT.)

The thing is, though, that I've been accused of scripting multiple times when playing either lux or viktor, because I tend to actually hit things. I thought it was funny, it gave me an ego boost whenever someone accused me of scripting, I would brag about it to my friends.

I thought it was so funny, that I've changed my name to ''Scripted Lasers'', as both my mains use lasers.

Anyway, no idea why im telling you this, but I have nothing else to say to be honest. I have never used cheating programs. I have been unrightfully permanently banned. I demand riot to look into this. I've been playing since start season 2, and I'm not ready to give up my account because of this.

I suspect my name is the reason why I've been banned, because I've just changed to this name one week ago. But never did I think I would get banned for it without there being proof for it. It's funny, really, but I'm in disbelief.

If there's anything, any useful information I could provide to prove my innocence, please tell me so. I will do my best to co-operate and figure this out.