Admin Replies are replies that can be sent to the Miiverse administration after receiving a Code of Conduct violation notice. Instead of including a text box to send your own replies, Nintendo provides 3 replies to the Miiverse administration.
This message states that you admit that you violated the Miiverse Code of Conduct, and you understand that what you did was wrong.
I have edited my Mii, Mii Nickname, or profile.
If you've been given a ban for an inappropate Mii, Mii name, or profile comment, this option clarifies that you've changed it.
I did not violate the terms of the Miiverse Code of Conduct.
This message states that you think that your violating post did not violate the Miiverse Code of Conduct and would like to request the administrators to undo the deletion (which is often unlikely).