1. The latest version of JNews is v1.2.2 (parent theme) and currently, you’re using v1.2.1 on your site that based on the image that you provide above. You need to update JNews into v1.2.2
If you put your changes on the parent theme, it will lost. You need to put them on the child theme. Your setup on customizer will not lost (Footer description, logo). What you mean with page & categories name?