Hey @bubomike, unfortunately the auto complete component is missing those features.
You could build your own autocomplete using an input field with a div below it that shows the content. This should also allow you to create the grouping design. This is more work, but you'd have better control of the design.
There is a fairly old feature request you could vote on and bump for minimum character count.
If you really want a feature-rich autocomplete you could find someone to create a Custom App Connect extension for Algolia Autocomplete or dive in and build it yourself. 