Thank you for the details! I tried to log-in to check the configuration, but the site says that the user does not exist. Can you please check that?
Thank you very much!
I found a possible issue, which rendered the style/script queue incorrectly. It was very specific to your exact configuration, so it did not occur until now. I managed to resolve it by making a minor change to one of the plugin files: plugins\ajax-search-pro\includes\functions\functions.php
The search should be okay now. I will make sure to note this issue and include it in the upcoming release too.