It wouldn't be the narrative or history or even detailing your parents' behavior that is important to uncover-it's about the disavowed feelings. You may have split off that part of yourself, and accessing those emotions and memories will make you more whole. You're talking through defenses here. Repression of painful emotions can eventually lead to repression of joy, which sometimes manifests as apathy, procrastination, or depression. And it will give you the opportunity to grieve for your father (which I wonder if you've grieved properly).

I agree with your T 500%. And now that you've trusted him more and the threat of relationship end is gone, you will be able to explore it all in no time. If you are done 'cancelling' sessions, the time will come real soon.