It is a name and can be written in many various ways, depending on which it could or could not have a meaning assigned to it. One writing of it would be 和志 which could convey a meaning of 'peaceful intention' , 'harmonic spirit'.
Fast wind or cyclone
Kazuki-san he, Eikokuno Amy yori かずき様 へ、 英国のエイミより
The mangas that inspired Japanese and American producers with the idea of the Yu-Gi-Oh! show, were created by Kazuki Takahashi.
I don't know what their address is but I can help you a bit. The creator of yugioh cards is a Japanese man who goes by the name Kazuki Takahashi. If you put into google "Kazuki Takahashi's address" then that might tell you.
No. Even though Kazuki Takahashi is also a manga artist, he is not at all related to Rumiko Takahashi the artist of InuYasha and many others. Takahashi is a very common Japanese last name.
In Japanese, the same pronunciation can be expressed in many different Chinese characters. The meanings depend on how it is written in Chinese characters. I list examples how Kazuki can be written in Chinese characters and what they mean: 一樹 single tree 一輝 single sparkle 一希 single hope 和樹 gentle tree 和輝 gentle sparkle 和希 gentle hope ...
Kazuki Namioka was born in 1978.
Kazuki Nakashima was born in 1959.
Kazuki Watanabe was born in 1981.
Kazuki Watanabe died in 2000.
Kazuki Ōtake was born in 1967.
Kazuki Sakuraba was born in 1971.
Kazuki Nishishita was born in 1982.