What is it your characters are seeking to achieve? When their day goes wrong, what can they do to rectify things? Or is it a case of accepting it was just a bad day and they pick themselves up and start again? Just how good (or otherwise) are they at doing that?
A lot can be revealed about personality by how well people handle the irritations (minor or otherwise) of life and how they react to being put under stress unexpectedly. Can they "let go" when they need to or do they brood over something going wrong and it takes them longer to work whatever it was that did go wrong out of their system? Can any enemy exploit whatever the dominant trait is here against them?
True character really does show up best when it is put under stress. All "cover ups" tend to go by the by as we revert back to flight or fight type responses. Your characters should show this too.