Is a "Submit" from the form the same as a 'Submit" after changing a field in Submissions?

I have an Ticket Email that is suppose to be sent if a person buys a ticket using a credit card. The system goes to paypal and if successful, it returns to jotforms and sends the appropriate email to the purchaser.  Works fine.

Now I also have an option to send in a check to pay for the ticket. The Ticket email is not emailed at the time the order form is submitted. It may be a week or so later until the check comes in. When I receive the check I wanted to go into the submission area and update the "Paid" field and then click the "Submit" button. I have the appropriate conditions set . When I click "Submit from the submissions screen, an email is sent to the administrator telling him of the action but no Email is sent to the purchaser. Is the "Submit" process different? Is this just an Update DB action?

Any help would be appreciated.

I tested your form and saw all your conditions. I will try to explain in simple example what you need to do to achieve desired functionality. 

Inside of your form you have already notification which is sent to purchaser when purchaser submit the form at the first time. When check comes in and you want to update area that something is paid instead of autoresponder you need to create new notification which will be sent to purchaser email only when paid area is true (conditional logic). 

First what you need to do is to set edit link inside of your original notification. 

After that you need to create new notification and to set conditional logic. 

E.g. if your paid field is true (paid) send me notification2 to email of purchaser. You can set email of purchaser by passing value of email field {emailyour}. 

Hope this will help.

Let us know if you need further assistance.