I have a suspicion this might be it. It would not surprise me if your second account ended up caught in the next wave of bans. They do tend to wait a few weeks/months before rolling out a mass-banning. It looks like your other thread that I had commented on was either deleted, or moved to where I cant see it, but I was able to read your reply in my alerts. The banned until date is one that is typically associated with detection of a third party program. This can cover a lot of things; scripting, hacking, some botting programs, some of the mod programs. I would recommend checking this thread by Wuks, just to double check that you are not using any of the programs that are not allowed. If you have one of those programs on your machine, and you use even a tiny portion of it to interact with your league account... it's the ban.
To try and give a bit of insight on the Terms of Use, I'll put a few pertinent quotes from it below:
3.2. Can I do stuff with Riot’s intellectual property? (We reserve all the rights to our IP, but do allow for some personal, non-commercial uses like fan art.)
We (and our licensors) own and reserve all rights and title in and to the Riot Services, and all data and content included therein, including, user accounts, computer code, titles, objects, artifacts, characters, character names, chat logs, Game recordings and broadcasts, locations, location names, stories, dialog, catch phrases, artwork, graphics, structural or landscape designs, animations, sounds, musical compositions and recordings, Riot Points (defined below), Influence Points (defined below), Hextech Items (defined below), Virtual Goods (defined below), audio-visual effects, character likenesses, methods of operation and gameplay (collectively, “Game Content”).
I've bolded the important parts. Riot owns the characters, the bushes, and the animations that play. Depending on what was done, it may have been a bit enough change to warrant action being taken.
ix. Using any unauthorized third party programs, including mods, hacks, cheats, scripts, bots, trainers and automation programs that interact with the Software in any way, for any purpose, including any unauthorized third party programs that intercept, emulate, or redirect any communication between the Software and Riot Games and any unauthorized third party programs that collect information about the Game by reading areas of memory used by the Software to store information;
This is the big one. It kinda sums up the reason why the first quote from the ToS is so darn important. Riot owns their toys. And they do not want anyone else trying to change them. And if a player is using a program in a seemingly harmless way to change a minor animation, it opens the door for a clever hacker to use that as a way to get in and make a bigger hack. So, rather than deal with it, Riot simply has these third party programs which have the ability to change Riot's coding considered unauthorized, and players are warned not to change the client or game files.