Let them have your parking space, that way you won't come back later to find your car vandalized.
让他们把车停在你的停车位吧,那样你回来时就不会发现你的车被刮花。
because they are unwilling to have their names entered as having taken out such and such a book,
因为它们不愿让人家记下它们公司的名字和借阅的某一本书。