The scene with a field full of injured children from the trampoline is a reference to the field of injured soldiers shot in the 1939 film Gone with the Wind. It's also a possible reference to the street of dying Russian protesters in the film Doctor Zhivago.
There is a sequence of Homer trying to push the trampoline off a cliff, but once pushes it over the edge and it falls down, it lands on a pillar of rock and bounces back up. This is a reference to the Chuck Jones-directed Wile E. Coyote and Road Runner Looney Tunes cartoons. The background imitates the desert landscape from the cartoons.
At night, Homer and Marge listen to some kids jumping on Homer's car. Marge then sits on the bed naked, but when the camera zooms to her face, a little portion of her nightgown is seen on her neck. The close-up of Marge in a nightgown was recycled footage from "Colonel Homer." The Simpsons episodes from seasons 2 to 6 always used recycled footage to save time and money.
Homer jumps near Bart's open window, but when Bart comes out, the window is closed.
In the scene of Jimbo and Kearney using Homer's car as a trampoline, the closed captioning has Kearney misidentified as Dolph.