Hi, @ikhub!
Sorry you’ve waited for our response.
The best way to do this via creating a child theme.
1. Remove the cart:
copy header-layout_1.php to the child theme:
parts/header/layouts/header-layout_1.php
than remove from file the class block pc-header-layout-1__cart in line 63.
2. Delete profile links.
Copy the header-toolbar.php to the child theme:
parts/header/parts/header/header-toolbar.php
In line 18 remove the connection block
<? php if (premmerce_is_woocommerce_activated ()) {get_template_part (‘parts/header/parts/header’, ‘profile’);}?>