Currently, in the plugin, there is no such feature using which you can sort the trips according to the published date and to make this work requires a lot of code customization not just above block of code.
So as much as we would love to help you on this, we are unable to do so as it requires a higher code customization.
Our suggestion to you is hire a professional developer so that your theme won’t be affected in any way.
Yes, WP Travel has the feature to order trips by price. Inside the itinerary page, you will get the option to filter the trips through different categories including price, trip type, location and more.