When my website is opened in Google, I want the google tab at the top to show my business icon and state the name instead of saying "Home".
Where do I change this?
The first one, the business icon is called favicon, you create it in PS for example with exactly 16x16 px or 32x32 px (not larger).
Instead of "home" you have to create another name for that page, this one will then be shown.
Change this by double click on the name "HOME" or use page descriptions for each page and change it there: