Header text is removed in compact mode, that’s what makes it compact.
No, the menu button’s only use is to expand/hide the sidebar so it is hidden with the sidebar.
See the 4 comments above your post, as of right now there is a bug with showing the view’s title as a text option. When that is fixed you’ll be able to do what you’re looking for using header_text: (when compact mode is off) or button_text:, there are many examples in this thread, in the template showcase thread, or in the docs. To have a certain tab show different text than the others look at how to do exceptions
You also have issues in your config. button_text: none is not a valid option and swipe is not included in Custom Header (use Swipe Navigation instead):
custom_header:
background: 'rgba(155, 155, 155, 0.25)'
header_text: Home
compact_mode: true
reverse_tab_direction: true
reverse_button_direction: true
options_hide: true
show_tabs:
- Home
shadow: false