Footer links necessary if navbar is fixed on small business website?

I'm developing a website for a friend's startup. It's a really small website with only 4-6 pages. Currently I have designed the website with a fixed navbar (and a fixed menu toggle button on mobile).

My question is, Should I repeat the navbar links in the footer? Or, since the navbar is fixed and always available to the user, should I reserve the footer for only those links which more typically belong there, such as "About" or "Contact Us"?

On the one hand, it seems like a waste of space and potentially confusing to the user to have access to identical links in the navbar and the footer which are both visible on-screen at the same time when the user is scrolled to the bottom. But on the other hand, perhaps it is better to follow convention and make all the links available in the footer because the user will expect them to be there.