I can help with Chinese characters (I copied them from an online dictionary, and enlarged them in photo shop)
The bottom one has 2 versions, the one on the left is written in traditional characters, and the one on the right is written in simplified. Some Chinese characters are the same for both, hence there is only one version. The difference is kind of important...simplified characters are only used in mainland China, whereas traditional characters are still used in Taiwan (some other places too, but I can't remember which). However, most mainland Chinese people can read traditional Chinese, but oftentimes they can't write it.
Then there's Japanese, which even though they use Chinese characters, it's a whole different beast altogether. Sometimes they use traditional, sometimes they use simplified. Japanese sometimes borrows Chinese words and has a Japanese pronounciation but they also have words that are of course, Japanese in origin, therefore a Chinese person could read the characters but not understand what it means. I think of the words in the picture, Japanese people use the same characters (the simplified version).
So...yeah. I don't follow the show, so I don't really know what's more accurate to the character, but I do have to warn you. The above are written in computer print style, however for more artistic purposes a more natural, calligraphic style would be used. There's a certain way you have to write Chinese characters, and it's very evident if you don't know what you're doing. This is something we just don't have in English.
Explaining how calligraphy style works is again, a completely different beast. I learned Chinese a little bit of Chinese calligraphy when I was younger, and it's a lot more complex then people think. There's certain ways to start and stop, diminish the stroke into a wisp, make a turn, etc.
Tattoos people get are not written in pure calligraphy though...they're written in sort of a standard print that's in between computer and calligraphy. But all the elements of starting, stopping, and the various types of strokes are evident in this script. The writing in the above pic is as I said, computer print and does not show these specifications. The reason being, Japanese/Chinese people already have it ingrained into their heads how the writing system works.
And thus concludes a mini-lesson on East Asian writing!
