A Carbon planet would be found in areas of space where more solar fusion has gone on for a longer time. This would be where there has been more cycles of star generations building up the elemental abundances - to the point where Carbon now exceed Oxygen.
Such a place would be nearer the galactic core.
No. Carbon is an element. Planets are great huge things orbiting stars.
Planets orbit stars.
stars, the planets have to get heat from stars
No, a galaxy is a cluster of stars, some of which might have planets.
Planets do not technically need their respective stars, but stars keep planets in orbit and provide heat and light to the planets.
about 12 billion in the alpha section
On the contrary! A star has planets, which circulate it. And planets have moons. Stars do not circle planets.
Planets and stars have gravity.
Galaxies/nebulae are at the top of the tree; each one contains several billion stars. Each star might have many planets orbiting around it, and planets can have many moons.
The Solar System Makes the planets and the Stars.
All of the planets are in the same atmosphere. All of the planets are unique. All of the planets are considered planets. All of the planets have moons. All of the planets are named after a mythical person or thing.
Planets orbit stars, stars orbit a galaxy. Planets are not "on" anything. A lot of stars out there have planets - we are just finding out how many now that we have better techniques to find them. So probably all galaxies have at least some stars with planets.