How to file a complaint for a locked Apple Account?

EppyLittleGuy wrote:

That's the problem, I couldn't have broken any of their terms of service. I hadn't had the account for more than two days before it was permanently locked. I put in a few passwords wrong and suddenly my account was locked with me being given no reason behind it.

A reason does not have to be given as those are the terms you agreed to when setting up an account:

Apple further reserves the right to modify, suspend, or discontinue the Services (or any part or Content thereof) at any time with or without notice to you, and Apple will not be liable to you or to any third party should it exercise such rights.

There are a whole list of reasons why that would be the case and there is no way any of us can begin to guess what that could be for your case specifically. If your account is disabled/locked due to the password being entered incorrectly, by you or someone else, all you need to do is reset the password, but since you described it as "permanently", it appears there may be some more information that we are not aware of.

If your Apple Account is locked, not active, or disabled - Apple Support

So, now you will need to create a new Apple Account, which should not be that big of a deal since you just had it for a couple of days. Removing the account that is signed into your device may require documentation to remove the Activation Lock.

Apple didn’t lock your account because of three incorrect password attempts. Your account has been permanently locked because you broke a term of service you agreed to and having the Apple account.

Legal - iCloud - Apple

Legal - Apple Media Services - Apple

You can send Apple feedback directly at Product Feedback - Apple