Must I slaughter another sheep for my aqiqah, knowing that my father slaughtered one for me when I was born?

If your father slaughtered one sheep as aqiqah for you, then you are not required to slaughter another sheep, because the aqiqah has already occurred with the one sheep from the father, and it is legislated for him. The son is not required to perform aqiqah for himself, even if it has not taken place.