Can you please help me figure out why our automatic emails stopped sending?

Currently, when a user fills out our form, it should send out an email with the details. Last week it stopped sending those out. When we send a test email from this site it doesn't work either, but the email address that would receive those responses is working otherwise.

I have checked the email addresses that you're using in your form and I can see they are not in our bounce list, one of the reasons why emails do not send. 

I have also checked the history of your email addresses and I can see emails are being sent properly, I also submitted a test and noticed the same, you can also check your email history by following this guide: How-to-View-All-Your-Form-Email-History

What I would suggest you is to check your inbox folder, may be that emails are there, if you find them in this folder then, please mark them as not spam and it should also help to get your future emails in the inbox folder.

Here're also some guides that will help you to know why emails may not be sending and how to properly set up your email notifications: 

https://www.jotform.com/help/364-Why-I-am-not-Receiving-Email-Notifications 

https://www.jotform.com/help/208-How-to-Prevent-Email-Bouncing-Related-Issues 

If the problem still persists, please try setting up your custom sender email address using SMTP, this way you will have more control over how the emails are sent: How-to-Setup-SMTP-for-a-Form

Hope this helps.