Police Arrested a Driver Who Had Lawfully Just Parked His

Police arrested a driver who had lawfully just parked his car. The arrest was for driving with a suspended driver's license. Following the arrest and after the arrestee was handcuffed and placed in a police cruiser, the police searched the interior of the car and discovered drugs in a glovebox. The police:

A) made a proper search since this is really an inventory search of the car.
B) had to make a search to be sure that evidence could not be destroyed.
C) have made a proper search because this search was incident to the lawful arrest.
D) have conducted an illegal search of the glove box because no evidence of the offense of arrest would have been discovered inside the car.