When Andy is putting Toby back in the cage in the interview room (around 16'), the camera shifts to him (Andy). A moment later, the camera shifts to Toby inside the cage, and his long earring has changed to a stud. The camera shifts back to Andy, and when it again moves to Toby, his long earring is back.
Generally speaking, Orthodox churches do not use organs (all music is sung a cappella). In addition, Medavoy and his wife discussing renewing their vows would not be possible during a traditional Orthodox betrothal or crowning service, as there are no vows in those services.
Sipowicz interviews Morlaas, posing as an ADA. However, Moralas would know that Sipowicz wasn't an ADA because Sipowicz was there at the apartment when he busted him.