I'm confused. The third class medical is the student pilot certificate... At least mine was. It looked a lot like this one: http://learntoflyhere.com/2012/11/19/student-pilot-and-faa-medical-certificates/ Which specifically says "And Student Pilot Certificate". However, this was awhile ago...
Concur. Flew the L39 with Larry and it was a fantastic experience. Aircraft was much more stable than I expected.
(This was my second reply... other one seemed to get lost. Maybe the curse of the newbie?)