Hi Jake B.
The information was not appearing because you had a modal inside the layout of the popup. The modal is not compatible with popups, you should use one or another.
I removed the modal and place the Form in a container with white background and some padding:

To put the popup communicating back to the screen, you need to use Popup_Editor_Notify from RichWidgets to notify back the parent screen:

And then on the OnNotify, you just have to Refresh the query in order to get the latest sections and AJAX refresh the part of the screen you want to:
Note: In order to the AJAX refresh, you need to name the part of the screen you want to refresh, in this case, I named the List to LR_Sections, like this:

OML in attachment.
Hope it helps.
Cheers,
João