Though I am not sure but I think that option (D) and (E) both changes the original meaning of the sentence by introducing the word "THAT".
As THAT introduce restrictive clause, so, it looks like that previous decision (which now reproved/changes) was responsible to organize the exhibit by chronological order..... But in original sentence the meaning is reversed. Original sentence wants to state that the new decision will be responsible to organize the exhibit by chronological order... .
So IMO, (E) changes the meaning of sentence, whereas (B) retains the meaning of the original sentence as well as maintains the parallelism too.
Hope it makes some sense...