When Stabler is in therapy, Dr. Hendrix asks Stabler if he had ever thought about "eating his gun". He tells her, "Suicide is a sin." Her reply is, "So is divorce.". However, according to the Catholic church, it is not divorce that is the sin, but marrying another spouse after divorce (without having the church annul the previous marriage). If a Catholic remarries the divorced spouse in a civil ceremony, however, that is not a sin, since the civil divorce was not recognized by the church to begin with.
When Fin is at the gym interviewing the training manager, the trainer is loading a new jug of water for the water dispenser. The cap is never taken off the jug and the guy turns it upside down and puts it in the holder and walks away. No water is ever seen coming out, which means the cooler would become inoperable.