When Myka and Jinks are talking in the bar after they take the cigarette case from Ethan, Myka tells Jinks that she found his body in the hangar. Pete found his body.
The former military helicopter pilot, Alex, would almost certainly not be being treated for PTSD at a private psychiatric hospital. If the armed forces did not treat him then the Dept of Veterans Affairs would.
Ethan is obviously faking playing the trumpet. His fingerings do not match the notes being played.
When Hugo pours the marbles back into the bag from the ashtray one can be heard 'escaping' and bouncing on the table.