WordPress Feedback popup with date saved into table

I would suggest using a combination of two plugins.

  1. First a lightbox plugin Lightbox Plugins on the WP Plugin Directory
  2. Then using Ninja Forms plugin, which is free Ninja Forms
  3. Then create a lightbox following the instructions from the lightbox plugin
  4. Then create a form in Ninja Forms
  5. And then lastly add the form shortcode inside the lightbox

This is the method I would use except I code my own lightbox and use Gravity Forms, but that is a premium plugin and ninja forms works fine.