I see. Yeah, thats something I wouldn't be able to pick up since I'm not too knowledgeable about Japanese myself. I rely heavily on machines for this stuff when I do it myself.
Interesting you you bring up that name, as you got me checking, and the kana next to the second kanji you pointed out appear to be the exact same used for Gundam Seed's Cagalli's name in Japanese, so Kagari or Kagalli might indeed be the intended name. Might be too early. The kana next to the first kanji is close but off a little.
I'm thinking of going with Kagalli over Kagari for now based on that. Because given that the author of L&G is the same one writing Fragments of the Mosaic, and the second story had 6 characters all with surnames named after Gundam characters, the similarity to Cagalli might be intentional on his part.
We'll have to wait to see if there is some significance to kanji being used for the first name for now like the possibility that she is indeed half-Japanese.