I am trying to get a better understanding of differences between common law and civil law legal systems. Here is what I was able to find online:

1) in common law there is the idea of a precedent, while in civil law not

2) in common law a judge plays a role of a person evidence at a court is provided to, while in civil law a judge tries to investigate too in addition

3) distance between public law and private law is smaller in common law legal system

Are these three points correct? What are other differences between common law and civil law legal systems?

(if necessary it is possible to simplify it to USA vs EU)

Thank you.