Background
The back scene is the scene going on in the back. You don't really notice it, because it's the background.
はいけい
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
Tofuguの本社を背景にして写真を撮ってもらえませんか。
Could you take my picture with the Tofugu headquarters in the background?