Q: Sitemap XML - Should I include the #Section links of my single-page website?

As the title suggests, I have a Website that is a single-page Site (homepage url only) for web design services purposes, with all of the menu links pointing to each of the #Sections on the main homepage itself.

Question: Should I include these #Section URL's in my website's Sitemap XML file?
Or, should I only list the primary domain name homepage of the site, and thats it?

Bonus Question: When linking to each Section via links in my Navbar, what format should I use?
Example: Either, www dot mydomain dot com / #SectionID(with the slash), OR
should I rather use www dot mydomain dot com #SectionID (without the slash)..?

Thank you in advance for help clarifying the correct answers to these questions!