Somehow when I view source, I can see some CSS from Woodmart (see attached)
1) What is this? Seems to be related to header items.
2) Are these required?
3) How do I minify, combine, or make the css become a part of the CSS file?
We have resaved your header via WoodMart -> Header builder and now the CSS code is generated into the file. Try to do the same on your production website.