Can anyone explain these email to me? Riot is confusing me? Is this a scam? Emails inside.

So I havnt played league for sometime. Its been like years and years. Anyways I tried to log into my account and It said I was perma banned. I sent riot an email asking what happen and they sent me this email about third party. Your account has been linked to suspicious activity surrounding account selling and the use of third-party programs, sometimes known as bots. Suspensions applied to accounts for this reason cannot be lifted. If you believe this ban is in error, feel free to let me know and I'll be happy to look into the matter for you. Please know, however, that it's unlikely that the decision will be reversed. Please let me know if you have any questions. Itachi The Rogue Ninja Riot Games Player Support Preferred Role: Fill or Ninjas :3 Now, shortly after that I received am email from MR. RI saying this. Currently the amount owed on your account is 55 USD for these two payments. USD 35 2012-06-13 08:56:59 PDT USD 20 2012-06-07 12:54:13 PDT Follow the link for repayment instructions. Best Regards, Mr Ri Billing Specialist League of Legends Player Support RIOT Games, Inc. Now when I follow that link its tells me pay this 55.00 dollars and your account will basically be unlocked. Now what im confused is the purchases says on dec 11. is the day I emailed the asking about the account. And why does one tell me its banned for third party which the only third party ive ever used was Skype. Anyways im just curious it all seem really odd to me. Im just looking for a explanation.
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