I am using the following:
> Moodle 3.7.2+
Problem 1) How to hide the full site name??
Front page settings > Edit settings
Full site name: Site Name Example
Nota: The system does not allow the name to be empty
Problem 2) The height of the background image is smaller
Site administration > Appearance > Themes > Adaptable > Header
Background image: Size 1900x180px
Header -> Background image -> Size = 1900x180px
The height of the background image is 180 px, but it does not look complete, you can only see 87 px
Problem 3) How can I hide the search option for courses?