The following reaction of 2 Br₂ (g) + 2 NO (g) → N₂ (g) + 2 Br₂O (g) has the following rate law:Rate = k [Br₂][NO]². The proposed mechanism for the reaction is:

Br₂ (g) + NO₂ (g) → N (g) + Br₂O (g)            [SLOW]
N (g)  +  NO (g) → N₂ (g) + O (g)                  [FAST]
O (g)  +  Br₂ (g) → Br₂O (g)                          [FAST]

Which of the following statements is/are false?

a) The rate determining step is bimolecular.
b) There are three elementary steps in the reaction mechanism.
c) The mechanism possesses a catalyst.
d) O is the only reaction intermediate in this reaction mechanism.
e) This is not a valid mechanism for the reaction.