Jamie and Janko are suspended for insubordination, then shown as speaking to police explorers while on suspension. In fact, officers on suspension are not allowed to perform any police related duties. The fact they were suspended for insubordination would ensure they were not doing something to promote the NYPD.
During the raid that Danny and his partner participate in, Danny shoots one of the suspects. When the suspect gets hit by the bullet he says "ahhh" and when he hits the floor he says "fuck". Someone in the sound dept failed to catch this involuntary cursing.