Hi!
I can only see 1 fatal error repeating in the log
[code]PHP Fatal error: Call to undefined function get_schools_list() in /var/www/vhosts/fairfieldschools.org/district-v2/themes/FPS_District-v2/templates/partials/parents-our-schools-v2.php on line 15[/code]
It comes from the theme as you can see. Try to fix that issue in that file, it might fix the search issue as well if its related.