Christopher, with a bit of luck you should now have got a test submission of the form to the mail address in your php file. I have recreated the form and used my own php file, and it seems to be working. It took some time, then I had first thought you were using Foundation, as most people do, and started recreating the form, but then I had to start over in Bootstrap. I also scratched my head a bit over getting the form to fit into your page, without actually having to recreate the entire page.
I have not done any styling, other than the size, you will have to add the styles yourself. If you could please confirm that you got that mail I mentioned, then I know it is working and then I'll send you the files you need.
Inger, Norway
My work in progress:
Components for Site Designer and the HTML Editor: https://mock-up.coffeecup.com