１）write - 女の子 or　女ノ子? ( in one book "の" was written katakana) 2)家に帰る。Correctly 家に行く?

Question

１）write - 女の子 or　女ノ子? ( in one book "の"  was written katakana)  2)家に帰る。Correctly 家に行く?

Answer

家に帰る = go to your own place
 家に行く = go to somebody else's place

Actually Kaoru said exactly that in Japanese above.

You probably saw 女ノ子 in a manga or something. They take liberties like that.

Answer

１）　女の子　が正しいです。

２）　自分の家に戻るときは「家に帰る」で、他人の家を訪問するときは「家に行く」です