As nouns the difference between misapprehension and misperception
is that misapprehension is a failure to understand something; an illusion, misconception or misunderstanding while misperception is an incorrect perception.
As nouns the difference between misconstruction and misperception
is that misconstruction is a misunderstanding or misinterpretation resulting from the use of the wrong meaning of a word that has multiple meanings while misperception is an incorrect perception.