Is there an option that all submissions have to pass an approval stage?

Alternatively, is there an option that all submissions have to pass an approval stage?

E.g. someone submits something, I reject it, the person can change the submission and only then it is saved?

You can use this workaround:

http://www.jotform.com/help/194-How-to-Assign-a-Status-to-Submissions

Then if you wish to send an email to the user for the status, you can send a conditional email based on the entry in the approval box.

Here's our guide for that:

http://www.jotform.com/help/167-How-to-send-to-a-specific-email-address-based-on-a-selection

But instead of using the notifier in the condition, you have to add an autoresponder email: http://www.jotform.com/help/26-Creating-a-Form-Autoresponder. 

Let us know if you need any further assistance for this process.

The Auto-Responder form is not working properly. Emails are not getting directed as they should be.

Hello rashadz,

In order for us to be able to understand correctly the issue, can you tell us which form is it that you are having difficulties on making the autoresponder work? Is this related to ErrorMeister4000?

Thanks.