Does this software include Abuse Reporting?    

Yes, the Abuse Reporting option is available with iScripts CyberMatch script.

There are other security features that we have in place on the iScripts CyberMatch software so that we can better protect the users. For example, there is a very powerful admin panel so that you can manage payments and users. Payments are processed through one of the trusted gateways that is supported by iScripts CyberMatch. Another great security feature is the automated background check that is available for your site users.

You can test out the Abuse Reporting and other features on the free full live demo of iScripts
CyberMatch.

You can find the demo for the dating software here: https://www.iscripts.com/cybermatch/beforedemo.php