When Homer is at his second job as a car salesman, he uses a plug to make the inflatable mascot to work. When the inflatable mascot rips of and floats off into the sky, the shot afterward shows the plug is now gone.
When Homer puts both his hands through Ned Flanders' door and Nelson's puts his hand in the middle, in the next shot Nelson's hand is below both of Homer's hands.
When Homer finds the Ambulance at his second job, the stand used to inflate the inflatable mascot disappears when Homer reaches the Ambulance.