Not to any noticable extent. By moving around on the Earth, you can get the size of the Moon to vary by about 2% - not enough to make a difference to the unaided eye.
However, there is the Moon Illusion. Due to some trick of our visual system, people think the Moon is bigger when it’s lower down in the sky. There have been numerous threads on the subject and possibly a column by Cecil at some point - worth digging out.
The apparent colour of the Moon can change due to local atmospheric effects. Classic examples are because of smoke and dust from the likes of forest fires and volcanic eruptions.
Its colour will also change during a lunar eclipse, but that change can be seen from everywhere on Earth that can see the Moon at the time of the eclipse.
Nope. The Earth’s tilted quite a bit and so the Moon doesn’t go round the equator. There are a couple of other effects involved, so from any particular point on Earth how high up the Moon is varies a lot over the seasons and the years.
Not that is known, at least in the last few thousand years. There’s almost certainly been no impact on the Moon in historic times sufficient to change its appearance to the naked eye.
(There is the Gervaise of Canterbury report - a medieval chronicler may have recorded a biggish impact on the Moon. However, this is controversial and the suggested change was both relatively small and on the far side. It wouldn’t have permanently changed how it looked from Earth.)
In historic times, yes. There are slight wobbles that mean that the face towards us shifts about a bit, but again not enough to be noticable.
One way in which how the Moon appears depends on your location is that what you see is probably slightly culturally determined. The Moon’s actually a fairly small object in the sky and it’s harder than you probably expect to draw what it looks like using just your naked eye. Expectations about seeing the Man-in-the-Moon or whatever are quite powerful in those circumstances.