First, lust=exteme sexual desire, right? Secondly, the author is being a bit comical. Don't take anything literallyl
Q1: Why does the columnist say "motels and hotels would close" and "restaurants" would shutter? Aren't they lust?
People who want to have sex will often use hotels or motels for the sexual interludes - especially if they are married to other people. If you want someone to have sex with you, you may have to take that person out to dinner first, to "wine and dine" her, before she will allow you have fulfill your lustful desires.
No lust=no desire for sex=no need for motel rooms=no need for wining and dinning=no need for restaurants.
Q2: What does " got their way" mean?
If you get the thing you are seeking/hoping for, you get your way. I wanted Mexican, Jim wanted Chinese - I got my way - we had tacos for dinner.
Q3: What does " Chapter XI" refer to? Why would florists and jewelers seek it?
It's a type of bankruptcy protection. If no one is buying flowers or jewels (to seduce the women with whom they want to have sex), they would go out of business. Bankruptcy helps protect them financially.
Q4: Are celebrity mags lust too?
A good portion of the magazines are about who is dating whom. If no one wanted to have sex, how interesting would the magazines be? If no one wanted to look all sexy, would their dressses be hot and sexy and worth showing on the magazines?