The Search section that is displayed below the slider section is the theme design/layout.
Since the demo of WP travel is made using Travel Log theme, such layout of the search section is provided by the theme itself. But the WP Travel plugin does have the WP travel Search widget which can be placed any widget area you like.
So if you want your site to look exactly like in the demo please try using the Travel Log theme with the WP Travel plugin.
I added a page with [WP_TRAVEL_ITINERARIES] shortcode then i was able to see filters like below link but now the filters are lost somewhere .Please help me to add the filters again at the top of ITINERARIES.