@ Julia
The advanced search addon I just sent you has an option to enable a drop down search of district, county, region (state/province), country. The options are populated form the direct entries.
In regards to the zip code search, yes, that is part of the keyword search that is available in the paid templates. It is also supported in the keyword search of the advanced search addon too.
If zip code search are not returning results, navigate to the Connections : Settings admin page and click the Search tab. Make sure the Address Zip code is option is enable.
For best results, you want to configure the keyword search to search only the fields you need. The more fields means more to search thru yielding the chance of less relevant results.
If I recall correctly, UK postal code have spaces in them. Is that correct? If it is, then the keyword search field would not be ideal because that space would cause the search to search for each part as a separate word. The advanced search has a dedicated autocomplete postal code search which allows the user to choose the correct postal code. This also is a radius search so entries within a defined radius will be returned as search results too.
