Continuity mistake: When Mr. Krabs is set on fire he runs past once with his clothes, then he runs past in his underwear, then he runs past naked, and jumps into a barrel of water. His clothes are back on. (00:30:05)
Continuity mistake: Spongebob steps on Plankton, then wipes his shoe, leaving a big green smear on the road. In the following shot it's gone. (00:09:25)
Continuity mistake: In the courtroom scene with King Neptune, Mindy's gold band keeps disappearing and reappearing. (00:13:20 - 00:14:55)
Continuity mistake: The pattywagon has pickles for wheels but when they pull up to the gas station, they are just regular green wheels.
Chosen answer: The buckets don't brainwash through skin contact. They brainwash through Plankton's signal. All you need to do is wear it close to your brain.
MikeH