A Police Station was not really a place Tony Stark frequented.
Country to popular belief, he was very careful of the type of trouble he found himself in. He, after all, owned a multi-billion dollar business, international and so forth. Him being a wild child was one thing, being a law-breaker was another thing entirely. He had women trouble, party-boy trouble, hang-over trouble... It was never, even in his drunkest moments, involving anything against the law, or really too stupid (he usually had Rhodey and Happy to bail him out in that case)... Mostly. But, he at least never really had done anything serious. With the kid, Ariel just sitting in his arms as he told his story to the concerned police officer, he knew that this was one of the most serious type of trouble he had ever been in so far.
The leggy redhead next to him seemed inclined to agree, straightforward in her account on what had happened, and not even batting an eyelash as she helped him not appear as if he had kidnapped a child off the beach. He wondered what her name was, and internally found the fact that she was so cool and collected in a crisis. Not an ice queen, but considerate to both him and the kid. The fact that she took in his bullshit babbling was impressive. But not nearly as impressive to her ability to neither respond to his halfhearted flirting with anything more serious than a slight downwards turn to her lips.