Our customization team can make custom header for you. Price will be $75

You can also add search icon by yourself in menu or use another header layout in theme option - header option - header layout

I wanted to add a search bar and some content along with header and all of that will be sticky whenever it scroll down to certain scrolling points.

I want the sticky feature like Pic - 1

and I wanted to have features like Pic - 2

PFA