@AndrewMLeonard suggested making the theme look like WordPress.org in terms of style.
He developed an SVG for the site logo and as a site icon.
Now I need to attempt to implement them in the header.

After a lot of fiddling with Global Styles we managed to get the header to look a bit like what it should look like.

• A site title link
• A search box
• A primary menu
• And a Get button
• with a blackish background and greyish text

Suffice it to say it's a long way off.

Requirements

• Use an SVG logo for the site logo - replacing the site title
• Use a transparent PNG file for the favicon

Here's a screenshot for 'desktop' display.

• The underlined site title needs to be replaced by the site logo
• There's an unwanted white margin
• The search box has a label above it
• The search box background is white not black
• The current menu item isn't highlighted in blue
• There's no fancy blue arrow under the current menu item
• The fonts are wrong
• The blue "Get" button doesn't hide