Search field is not displaying

it might be a css conflict with your other plugin or theme; do you have sample link for us to see?

Certainly.

https://circraftleisure.williamswebsolutions.co.uk/events/

I admit I am having to force it to show through my child theme which I know is a work around, just doesn’t seem like it is the right answer.

You can clearly see that the near field does not contain a placeholder though.

getting this error on your site

Google Maps JavaScript API error: ApiNotActivatedMapError

you can try this tutorial – https://wp-events-plugin.com/documentation/google-maps/api-key/

Not quite sure how that affects the CSS that is forcing the fields to not display.
As mentioned I have had to add CSS to my styles.css in order to get it to display.

geo search is using google maps api as per template file at events-manager/templates/templates/search/