car not starting not enough spark for crank shaft to turn?

Car was taking long time to start then not starting after changing coil ,distributor cap, igniter and cleaning terminals on battery. I have a 97 Honda Accord LX 4 cylinder stick shift. I pushed n jump started it drove around with no problems ,shut it off and it restarted 1st crank no problems. I parked overnight went to start it n just cranks but doesn't start. Not sure if weather has any bearing but mechanic says its the crank shaft relay. Is there a test to determine if crank shaft relay is the problem?