Of course we do not have free trade with Japan. This would meant Japan would have to open their markets to US products such as cars. Something they have always been unwilling to do. We have trade agreements with many countries-most one sided. Our markets are open theirs are closed.
As for WTO cases involving the U.S. and Japan, we've won some and lost some. And the Japanese still haven't (re)opened their market to American beef, so you can easily say the record is mixed.