What does the name Austin mean?

Well, since "Austin" is an English Word, and not a Japanese Word, it wouldn't really have a meaning, as such.

Writing your name in Japanese, you would use Katakana:　アウシテン。

Which would be pronounced more like "Aa-shi-ten" then "Austin".

Instead, you could give yourself a Japanese name =).

Hope this helps =)

~ Radish xxX.