I don’t think the Church has ever gone so far to say that Catholics are “fulfilled Jews”, but I’ve heard the phrase “the Catholic Church is the fulfillment of the Jewish tradition” (or something like that) mentioned by some apologists. It is obviously the case. Think of the Apostles. They were all Jews and recognized Jesus as the Christ. Interestingly enough, I think that if all the Jews would have believed in Jesus, the Church would still have been called the Catholic Church, because it is truly Universal - for all people.
As a Presbyterian Minister, I don’t expect your professor to believe any Catholic Doctrine, even in regards to the Particular Judgement. Sounds like he is taking a Sola Scriptura stance, which isn’t surprising.
Upon our death, each of us will be judged individually to Happiness in Heaven, purification in Purgatory, or Eternity in Hell. This is the Particular Judgement.
At the General Judgement at the Second Coming of Christ, the entire Human Race will witness and know everyone else’s judgement. God will do this because of His Justice.
I can remember as a child being confused about this. It seemed like even if we were in Heaven, we’d be judged again at the Second Coming, but that isn’t true. Our eternal reward, or punishment, that we receive at the Particular Judgement remains with us at the General Judgement.