KANJI GUIDE
The sky, and heaven with it. 天国 is paradise; 天気 is the weather.
Jasmine, in 茉莉花. Chosen for names almost entirely for how it looks and sounds.
The sky, and also empty. Buddhism uses the same character for emptiness — 空, śūnyatā.
Both kana for this sound — な and ナ — were made from 奈. And Japan has written foreign names with it for centuries: 加奈陀 is Canada. Yours is in good company.