Cornered

After Lynch takes the two women into the cooler, Carisi tells Deonte that anything his partner does he will be held criminally liable for as well. That is certainly true if Lynch were to kill anyone, in which case the felony murder rule would apply, if anyone is killed (even accidentally) during the commission of a violent felony everyone who was an active participant in said felony will be charged with murder. However, Deonte being charged as an accomplice to rape if Lynch were to sexually assault either girl, which is what Carisi was afraid of, would be less certain. There is no sex crime equivalent to the felony murder law (yet) that specifically deals with participants in a violent felony like armed robbery being charged as an accomplice to rape if one of them sexually assaults a victim but the others did not participate or assist in the rape. However, in theory they could be charged with aiding and abetting, or criminal facilitation, of a rape if they knew their accomplice was sexually assaulting a victim and allowed it to happen without taking any action to stop it.

At several points Olivia tells the precinct commander, hostage negotiation detective and ESU officers what to do, as if she has the authority to give them orders. However this is not a sex crime or an SVU case, in hostage situations the local precinct commander and hostage negotiation detectives make the calls. That combined with the fact that the precinct commander is also a captain means Olivia would not be making the calls here.