KANJI GUIDE
輝く is to shine — but unlike 照, this light comes from the thing itself rather than falling on it. Read てる in given names.
May your own light shine.
The only one. 唯一 is unique; 唯我独尊 is standing alone above all.
The capital, and any big city. 東京都 is the Tokyo Metropolis; 都合 is how your circumstances stand.