4.When the garage door closes = The chambers door closes
5.Homer gets stuck in the door = Satipo in a booby trap
6.Homer chases Bart with a rake and rants like a jungle native = The Hovitos with spears chase Indy
7.Bart escapes on the bus = Indy escapes in a plane.
The major difference is while Bart did make off with the treasure, whereas in the original movie just when Indy thought he was home free, Rene Belloq was waiting with a platoon of Hovitos to force Indiana Jones to hand over the treasure.
At the end of the episode, there is a picture of Homer with a teacher's outfit, along with the text "Homer Sez" next to it. This may be a reference to Sonic Sez.