While living in Pakistan, you feared that your father would kill you. If the threat of death was real, then I would not consider you to be paranoid. Feeling fear and paranoia under such circumstances would be an understandable reaction.
Alternatively, if you were frightened of your father but were in no real danger, then your paranoia would be a sign that something is wrong. Paranoia is a symptom of schizophrenia and several other mental health disorders. The key to knowing whether you are mentally ill is determining if your thought process is based in reality.
An objective, trained, mental health professional diagnosed you with schizophrenia. I am assuming that the doctor did not believe that your fears were justified. That may mean that the schizophrenia diagnosis was accurate.
To be diagnosed with schizophrenia you would have to meet certain clinical criteria. It seems as though the only symptom you are currently experiencing is paranoia, which has significantly decreased since you moved to a new country. If paranoia is your only symptom, then you may not have schizophrenia. You do not have the two key symptoms of the disorder: delusions and hallucinations.
Without many more details, it is difficult to know if you have schizophrenia. I would recommend seeing a mental health professional for an evaluation. It would be advantageous to have an evaluation at this time, since your circumstances have changed. It’s always best to get a second opinion. Please take care.