I did not see that answer in the documentation, https://golang.org/pkg/net/http/.
It seems pretty complete, but typically I find the built in web servers are never recommended, such as Python, PHP, etc., for anything but development.
Yes. It is a 'production' server if you use it as such. There is no reason why you would not. It is was made with the intent of you using it for real production applications, not just for testing and playing around with the language.