In the arcade scene a polybius machine can be spotted (right next to the triangle wars machine). The machine references the urban legend by only having a start button and a text that says "us government property".
A Remington Steele game can be seen behind Bart as he plays Triangle Wars. Remington Steele was a TV show about Laura Holt, a female private detective who invented masculine superior Remington Steele to take the bows while she does the work. This is the same situation as Marge and Homer's carpentry business.
The title is a reference to the M.C. Hammer album Please Hammer, Don't Hurt 'Em.
It is revealed that Principal Skinner is allergic to peanuts when Bart tricks him into eating one.