Clicking in the date field pops up the datepicker, so maybe the icon would be best at the right of the date field, maybe inside the date field, so that clicking it still pops up the datepicker? That means you would have two of them. I am guessing it could be done using the after pseudo class.

Can you confirm that might be what you want?

What I was suggesting was doing this (I am not sure it is possible, but I can try):

https://www.screencast.com/t/3QqmwMkgKV67

Is that acceptable to you? It would use CSS and no images (instead us an icon, from maybe Font Awesome or Dashicons).

If you want me to make the CSS for you, are you able to send me a live link/URL to your search page so I can take a look?

You can only have Category, Tag or each custom taxonomy once on a form, so you would need to follow the advice in this post:

https://support.searchandfilter.com/forums/topic/elementor-filter-not-working-showing-all-results/#post-221562

In your theme customizer, in the Custom CSS, add this:

.searchandfilter[data-sf-form-id="7184"] ul.sf_date_field > li:after {
  content: "\ec051";
  height: 40px;
  width: 40px;
  vertical-align: middle;
  line-height: 40px;
  font-size: 20px;
  transform: rotateY(180deg);
  color: #fff;
  text-align: center;
  font-weight: 400;
  font-family: icomoon-the7-font;
  position: absolute;
  margin-left: -40px;
  background: #c00f41;
}

This uses the same icon and font as the search in your theme header.

Is it OK to close this thread for now?