false, punish, crime, law
辟 centers on the idea of deviation from what is right or true: falsehood, crime, and the resulting punishment or law that corrects it.
辟 is thought to combine 辛 (a tool or punishment) with a kneeling person, suggesting a person receiving punishment or correction. The exact historical development is uncertain.
The right side 辛 looks like a sharp tool or punishment, and the left side resembles a person kneeling. Imagine a criminal kneeling before the law, receiving punishment for a false act.
For ヘキ, picture a criminal being punished by being forced to stand in a corner, like a hockey penalty box: hockey -> ヘキ, and the punishment fits the crime.