Do I need to take corona virus test before arriving to JFK? Coming from Europe

Yes. Anybody coming into US has to take a covid test within 3 days of your flight.

I dont think so. It depends on the airline that you are traveling with

A COVID-19 test is needed 3 days prior to travel from overseas plus a questionnaire from the airlines

Yes you do. Travelling international you need a test.

I don't think so, but do it just to be safe.

Depends which airline

From what I know no. You might have to get one prior to leaving Europe though. From that airline