I personally think the story is about 'will you come clean and admit you did something wrong, and try to do better, or will you hold onto your deception' type of thing.
While I am sure that the Christian tradition is to translate it as 'father', the idea that 'father' was in the informal mode in the hebrew matches the jewish attitudes towards god that was developing in the 1st century bce to first century ce.
Please don't take the Abba discussion any further unless it can be tied back into the main topic. Thanks --AdminPD