Do I have to pay a judgment against me if I had a limit on my card?

If you've already got a judgment against you, it likely includes amounts beyond your mere credit limit, such as penalties, fees, interest, and then possibly court costs, attorneys fees, a prevailing party fee, and the like. If you were represented in the court case that led to the judgment, you should contact your attorney. If not, or if you did not participate in the proceedings, you may have a way to invalidate the judgment award with the assistance of an attorney. Otherwise, though, generally speaking there is nothing that would tie a maximum judgment amount to your credit limit.