Ok, so I understood correctly.
That page is created by WordPress – Taxonomy.
TO create a page with listings by category, use the shortcode is the one I sent you above (recent items, with category ID specifications).
[recent_items type=”properties” category_ids=”4″ number=”3″ rows=”3″ link=”http://original.wpestate.org/property_category/apartments/”][/recent_items]
Instead of category_ids=”4″ place the PARK category ID. Take if from Categories – Edit Category URL (in wp-admin). Or you can install a plugin – HH sortable ID columns that lists all IDs in lists.
This is a demo I created with this shortcode: http://wpestatetheme.org/listings-by-categories/
Let me know if you need help.