The Earth's moon orbits in an ellipse, just like every other closed gravitational orbit.
The Sun has no moons. Moons orbit Planets > Planets orbit the Sun.
Asteroids orbit the sun. Moons orbit planets and planets orbit the sun. So you could say the moons orbit the sun. However, moons are kept in their orbits by the gravity of their planet and planets are kept in orbit by the gravity of the sun. So in that sense, moons do not orbit the sun.
Most but not all larger MOONS (bodies that orbit planets, moons, or asteroids) accreted in the same way that PLANETS did, assuming a variable density and a nearly spherical shape. Very large moons such as Titan have many of the characteristics of planets: vulcanism, atmospheres, and weather. Generally speaking, moons orbit planets in the same way that planets orbit stars.
63 known moons orbit Jupiter.
All orbits are elliptical. Some, like Earth's are ALMOST circles, but every orbit has at least a little bit of eccentricity.
Moons are satellites. They orbit planets.
Not our (the Earth's) moon but Jupiter has lots of its own moons that orbit it.
27 moons orbit Uranus that we know of
No. Only the larger moons are spherical. Smaller moons do not have strong enough gravity to make themselves round and so are irregular in shape. Perfect example are Phobos and Deimos, the two tiny moons that orbit Mars.
Moons
Moons orbit around planets. They are natural satellites that are held in orbit by the planet's gravitational pull.
Moons orbit planets Or rather moons and planets orbit their barycenter.