There are shades yeah, also brown hair has higher eumelanin, which is the dark pigment, and less pheomelanin, the pale pigment.
Yes you should. A common trait is that  higher levels of the dark pigment eumelanin and lower levels of the pale pigment pheomelanin.
I wish my hair were nice and brown like my youngest daughter, but I have dirty blond instead. Well, you don't have the second most common hair color for people though! I actually wish I did, I think it looks better on me. What else can you tell me about brown hair? I'm unaware of that view on brunettes but can say brown hairs vary from being really dark like black to a light brown. So there are a lot of shades of brown then?  Perhaps I will dye mine.
It is characterized by higher levels of the dark pigment eumelanin and lower levels of the pale pigment pheomelanin.