Hello @memorymker,
First of all thank you very much for using the plugin.
As for the query about the travel date, the dates that you have selected will be displayed i the cart page but not in the checkout page. Further, the dates will also be available in the email and booking listing at the backend.
Regarding your second query, the feature is not currently available in the plugin but if you wish then you can hire our professional developer.
To hire a developer, please follow below given link:
http://wptravel.io/hire-wordpress-customizer/
To update the child and infant rate simply go to Dates And Prices section and to the added price and update the price accordingly.
http://prntscr.com/mjw0x3
Hope this helps.
Best Regards!!