Hello,
Use the default header layout as the layout for all the pages and use Multiple headers option to create header for the home page only. I see that you use ClodFlare CDN. I would recommend you to enable dev mode if your site is under development to be able to see your changes. Because CDN caches scripts and styles and you don’t see style changes that you do using Theme Options. Or log in to CF dashboard https://newoptika.com.ua/wp-admin/options-general.php?page=cloudflare#/login and clear cache after your changes to see them.
I have made the default header layout the same like we have for the banners demo and home page header like we have for the default red demo. Clear CDN and plugin caches and check.
Regards