There are two common approaches. Link directly to the published HTML from Canvas, Blackboard, or a similar LMS. If you host on Runestone Academy, you can also integrate via LTI so that exercise grades flow back into your LMS gradebook.
You do. PreTeXt is a tool; it does not claim any rights over your content. You can assign any license you like, and many authors choose a Creative Commons license to make their materials openly remixable.
Edit the source, rebuild, and redeploy. On GitHub Pages, pushing a commit triggers an automatic rebuild. Your URL stays the same and readers see the updated version on their next visit.