A: "The student's face went palid". It's necessary to place an apostrophe plus an "s" to the end of the noun "student" to indicate possession, that is to say, to indicate that it was the face of the students.
B: No error. The question structure is correct.
C: "Bad meaning it's bad" The apostrophe here is used to contract the words "it" and "is". Without the apostrophe, the sentence is confusing as "its" refers to the possessive pronoun or the possessive adjective of "it".
D: "bad meaning it's good". To have a more proper structure sentence, this clause should follow the structure of the prior sentence.