The temple is 東本願寺 (Higashihonganji)
The green incense is 白檀 (Sandalwood).
I don't see a store on their web page unfortunately. Maybe you can buy various brands online until you find something similar.
My wife likes sandalwood too and there is much variety in the smell of products that are "sandalwood."
BTW the one you don't like as much is 沈香 (Agarwood).
The name of the green one is 真宗用お線香 浄薫香 白檀入 Incense Sticks for Shin Buddhism, Jōkunkō, Sandalwood contained. Exactly the same incense sticks are sold in the following shop (although the shop is for temples...).