Thank you very much, kelan.
In all honesty, I don't remember exactly how I got the star separated from the rest. I think I put a circle around the star shape, so that it was centered as well as I could make it. Then I think I did Path Intersection, although I really don't remember.
I DO remember being surprised to end up with a star inside a circle, instead of just the star. I might mention here that I have no background in art or graphics, so I'm learning as I go. Often I can't get the program to do what I want, even though I know it's capable of doing what I want. But despite reading the tutorials and/or user guide, I can't seem to get it how I want. At this point, I usually use whatever result I've gotten (that's not quite what I want) and try to modify it to be what I want. I don't know if maybe it would be better to ask for help right up front. But I like to think of modifying whatever I ended up with, as another opportunity for a learning experience.
Anyway, what I did next was remove the arcs between the points of the star (which combined, form a circle). So now when I have the resulting star selected with the Node tool (
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) it's telling me I have 31 nodes. 3 of the points DO consist of 2 endpoint nodes, and those I have successfully joined, following your instructions.
A couple of the others have 2 nodes, but apparently they're not endpoint nodes. In my way of bumbling about, I would probably try selecting them and breaking the path, or maybe "split path between 2 non-endpoint nodes", to turn them into endpoints. Then join them. But maybe you know of a better way?
The rest of the points have between 3 and 6 nodes each. And I have no idea how to handle them. Do you think I should just start all over making the star? I'm sure there's a better way to do it, than how I did it. Or is there a way to get rid the extra nodes? Well, I do know how to delete nodes

But not how to choose which of the overlapping 3 to 6 nodes to delete....besides trial and error, and undo.
Thanks for your help and patience
