Is one's ablution considered invalidated if one unknowingly touches impure handles? And is a daughter sinful for hating her father who does not adhere to the teachings of the Islamic religion and harbors ill will towards people, and will she be punished for her negative feelings towards him, knowing that he does not fulfill his duties as a father?

Your father is in grave danger due to his condition, but that does not nullify his right over you. It is obligatory to treat him kindly to the best of your ability, without harming yourself. Among the greatest acts of kindness is enjoining him to good and forbidding him from evil gently. If you fulfill your duty, your dislike for him due to his disobedience will not harm you. However, be careful not to let this dislike lead you to disrespect him. As for the issue of purity and impurity, the default state of things is purity, and certainty is not removed by doubt. Ablution is not invalidated by impurity falling on the body. Therefore, beware of obsessive whispering (waswasah) and turn away from it.