Dave:

The 6/6 drag plate on your reel is definitely reversible so that shouldn't be the problem. Possibly the pawl is in the wrong position. The pawl is the little spring loaded "pin-like" protrusion UNDER the drag plate. Try taking the drag washer off and look at the pawl, it has a slanted side to use as a reference. Without removing the pawl, just rotate that slant 180 degrees from where it is right now and see if that changes things.

If not I'm sure some Medalist experts will chime in with other suggestions.

Good luck!