2 and 3 are correct.
1 would be correct if you wrote, "I went to school in my father's car."
How did you go school?
1. I went to school by my father's car.
2. My father drove me to school.
3. I went to school by car with my father.
[Which sentence is right?]
2 answers
If there's only supposed to be one answer, I'd say 2 is the best.