Is there a way to auto email anyone who completes the survey?

2. Is there a way to auto email anyone who completes the survey? If so, how can I have an automatic email sent to someone who just registered without having to manually input their email into a list?

Yes, you can send an automatic email to anyone whom fills in your form is via an autoresponder.

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