jmwinfree on "Add Search Box to Custom Menu"

Hi everyone! Been searching through the posts, and haven't found any info on it, but maybe it's a really simple fix and I'm just missing something.

I created a custom header menu so I could exclude certain pages. What I want now is a search box on the right side of that menu. Is that possible, and how do I do it?

Here's the website:
http://www.blue-water-transport.com
Using Responsive full width featured area Child Theme.

Thanks so much!