Higgins bailing out Jin after his undercover assignment makes no sense. For him to have a bail means he would have had to have a bail hearing in which officers of the court would have to perjure themselves about what charges he was supposedly facing. It would have risked the judge denying bail and unlawfully imprisoning Jin.
After the shooting the team borrow a woman's phone to check for evidence of the crime. Katsumoto arrives, checks out the footage for himself, and then nonchalantly puts the phone in his own pocket.
When the fire alarm goes off, Juliet uses an access card to open a door marked "fire exit". It makes no sense to need such a card to open a door designed to allow a safe exit during a fire.