Is it considered haram not to interact with one's father—including refraining from smiling and jesting, and merely responding to his remarks—if this is due to his repeated hurtful actions?

The questioner must honor her father and not abandon him or describe him in inappropriate ways, because of the verses and hadiths that encourage honoring parents and forbid disobeying and abandoning them. This is an obligatory right upon her, and she must obey him except in disobedience. He, in turn, must fear Allah and treat his wife and daughter well.