Based on our internal testing, the from address you are using for the event action should work the way you want. Most likely, there is a "support.mycourts.com.au" contact in your email contacts list which is associated with the support@mycourts.com.au email address. For many email providers, this would cause the contact name to be displayed instead of the friendly name included in the email. It looks like your email provider tries to show both, with the contact name listed more prominently. If you are able to do so, could you post the headers from the raw email? It should look something like this:

 

Return-Path: <tickets@example.com>
MIME-Version: 1.0
Content-Type: multipart/alternative;
	boundary=----_SmarterMail_NextPart_8423856858878750
Date: Mon, 23 Jul 2018 16:45:27 -0700
Subject: Ticket Message Received Notification
From: "Your Company" <tickets@example.com>
Reply-To: "Your Company" <tickets@example.com>
To: admin@example.com
Message-ID: <ffd25e309824438e8e1ddf3fc7ce3445@SmarterTrack>