Tony,
That should be 0.6 volt, or 600mV! The DRIVER base/emitter voltage (across the device, left terminal to right terminal, forget the centre terminal which is collector) has to be 0.6 volt for the device to be functioning as it should.
Yes, an output that's loose will definitely cause issues.
Now the outputs are out, check them with a meter. Again, best bet is base to emitter, left to right terminal. Use your DMM on ohms, the reading should measure DIFFERENTLY one way to the other, that is, red probe to base black to emitter should measure differently to red probe to emitter black to base. If there is NO difference, the transistor is kaput. There are other tests, but this one is definitive. If there is no difference, measure collector to emitter and emitter to collector. This is usually a short circuit IF the device is destroyed.
HOpe this helps,
Hugh