In her 'session' the Doctor confirms with Benson that she asked to be assigned to SVU. It was established in the first few episodes of the season that all postings to SVU are volunteer-only, so this shouldn't really be a topic for discussion.
The scene with Stabler and Munch questioning the male suspect about who is in 'control now' comes after the suspect's lawyer comes to get him "home by supper". This interrogation would not be allowed without presence of his council.
When Jeffries is in the restaurant interviewing the restaurant owner, the shadow of the boom mic is visible behind them.