On the cabinet in the bedroom at Cy's brother's house, where he takes Lyla's underwear, there is a photo-frame with three pictures. When Lyla comes in the room, there is different photo-frame with only two pictures, and it's also another color.
Reid states that sulfuric acid can turn human flesh into soap. This is not true. Saponification, or soap formation, occurs when fats are hydrolyzed in the presence of caustic solutions, like lye (sodium hydroxide). Dr Reid should have known this.
Cy's camcorder is a Sony Handycam (a DCR-TRV900 to be exact); yet the "record" screen we see several times throughout the episode is definitely not that of a digital Handycam.
Considering that Cy is "basically homeless," according to his brother, it's very hard to believe that he got his hands on a mint-condition Sony DCR-TRV900 (around $3000 new in 1998, $200 and up in the used market in 2016). Although, since his brother provides him with clothing and toiletries, it's likely that the camcorder was given to him.
In the first scene of the team talking about the case, the map of Durant Oklahoma is actually a map of Edmond Oklahoma, a suburb of Oklahoma City.