GeoDirectoryV2 Move logo to the center above the search bar in the home page

Also on the front page of my website how do I re-arrange the “featured places” being displayed?

how could I add a place that has been recently added to show in the “featured Places” area on the front page.

The GD Listings you are using on the frontpage has lots of options. You can choose a different sort, or set it to be filtered by tags. For example add a tag ‘frontpage-featured’ to each of 5 listings or 6, and then set GD Listings to be filtered by that tag. You can also choose a sorting option, or even a custom sorting option:

https://wpgeodirectory.com/docs-v2/places/sorting/

You can check with the available gateways here to see if any support that

https://wpinvoicing.com/downloads/category/gateways/

Or build your own:
https://wpinvoicing.com/docs/developers/creating-a-payment-gateway/

A fix for the theme is coming, in the meantime try this CSS in the customizer

.geodir-tabs dl.geodir-tab-head{display: block!important;}