1) The Earth revolves around the Sun.
2) The Sun moves throughout the galaxy.
3) The sphere earth rotates on an axis.
4) The stars also move relative to the galaxy.
Flat Earthers seem to have no concept of time scales and distances.
"The sphere earth rotates on an axis." once in a little under 24 hours.
"The Earth revolves around the Sun" once in a bit over 365 days.
"The Sun moves throughout the galaxy." but, not just the Sun, but the Solar System as a whole and this movement is too slow (in relative terms) for any but astronomers to see.
"The stars also move relative to the galaxy" this is a bit backwards. Most of the stars we see are part of our galaxy, the Milky Way and I assume the Milky Way moves relative to the rest of the universe. But, these movements are completely undetectable to other than astronomers.
Then the distance from the earth to the Sun is almost
1,200 times diameter of the earth.
The distance to the nearest star (Proxima Centauri) is over
250,000 times the distance to the Sun.
The whole point of this is that the only movement that affects star trails on earth is t
he rotation of the earth and
since the moon rotates on its axis (and around the earth) about once in 27 days
Star trails would be observed on the moon, but would take about 27 days for one rotation.
Any movement around the Sun would have only a minor effect. Any movement relative to the stars is quite negligible.
(I hope my quick calculations are right!)