Looking at the Earth from the Moon

So I’ve heard that if you were to live on the moon you’d have two weeks of night and two weeks of day. If you stayed in the same spot the Earth would be in the same place in the sky at all times. On top of this it has phases just like the moon. New Earth, Crescent Earth, Half Earth, and a Full Earth. Then that same order reversed. The sun however, still rises and sets. When I found this out there was no explanation for where the sun’s location would be when the Earth is full. How long would the Earth be full for? If the sun rises and sets, but the Earth stays in the same place, than how does that work? Are it’s phases shorter? Longer?

I’d imagine the Sun looks to be in different locations in the sky every time it rises and sets, because since we are rotating around the Earth and the Earth is rotating around the sun, I would assume that the sun may rise in the east and set in the west for awhile before switching it up to west to east. I mean maybe that’s a basic misunderstanding that is easily debunked, I just don’t know.

When I tried googling where the sun would be when the Earth was full it would just show results for where the sun would be for each moon phase. Given what I just said about he Earth never moving from it’s spot in the sky so long as we stayed in the same spot on the moon, and the fact the moon definitely doesn’t do that for us, I don’t know that the results of that search would be a 1:1 comparison.

Maybe I’m just stupid, I don’t know.

UPDATE: Two friends of mine and I were discussing the reality of whether or not you can see stars with the naked eye in space, seeing as how you can see them at night out in the woods, but not with the light pollution from the cities.

Taking the light pollution into account, because of how close we are to the sun, would we be able to see other stars while standing on the moon or in space at all? I know that simulation has stars in it but it’s a simulation. I don’t think when the sun shows up on screen with other stars visible around it that it’s an accurate depiction of what it would look like. For awhile now I’ve always thought, (pretty sure I read something that confirmed this) that because of how close we are to our solar systems star, we won’t be able to see distant stars without telescopes or what have you.

So what’s the real deal with that?

EDIT: Should I make this a separate post?