I have flagged the Amarillo account and this thread for a JMod.
While you wait for a reply: This particular problem has occurred a few times in recent months - it generally is some sort of glitch in the automated response to a ban appeal. You have not stated what offence the Amarillo account was banned for. Some offences can be appealed, others cannot. Have a read of the Account Bans support page as it has a list in there of unappealable offences.