about the Notification e-mail

Can I include in the notification e-mail to the submitter additional recipients even though there are not listed in the actual form?

If I understood you correctly you want to email Notification to email address your user entered inside of your form. You can achieve that by creating Autoresponder: 

http://www.jotform.com/help/26-Creating-a-Form-Autoresponder 

In case that you want to send email Notification to multiple recipients, inside of this guide you can find how to do it: http://www.jotform.com/help/39-Send-Notifications-to-Multiple-Recipients 

Hope this will help. Let us know if you need further assistance.