300 ft means the plane had barely taken off with insufficient altitude for turning back 270 degrees for an upwind deadstick final onto the runway, with crosswind at about 10 knots and ground thermals and sink holes.  I wonder if the young pilot thought to check the fuel selector...the first thing a seasoned pilot gets into the habit of immediately doing when interrupted during departure while best-rate climbing to altitude when nosing down, trying to restart, and looking for a deadstick landing site.  The pilot should be able to quickly answer this.  If he eliminated this issue, then he came through with flying colors.  If not, I would always wonder...even if a faulty engine is determined as cause.