If this is going in an enclosed trailer you won't have any problems with a 3000lb winch. I had a 2500lb warn winch in my enclosed and never had a problem my car weighed the same or more then yours. Another upgrade i recommend is change the steel winch cable to the synthetic rope, I had a steel cable break when the front tires bounced from trailer to door and luck for me my buddy was walking by to stop the car.
Kevin