Do the other esc come on just at a later time? I would pull the props off when testing the motor run up.
Have you set the throttle end points?
You can set the end point on the esc's one at a time if needed.
I made a wire harness that has one servo lead going to six
That way I can set all end points at the same time.
Once you set up the Naza you do need to reset endpoints.
All the Transmitter trimming you may do on setup could change the end points.
You may have already done this .. but if not here is what I do.
To set end points, take all props off. Then pull one esc servo lead at a time hook it to the throttle, then place the throttle to WOT plug in your battery for the one esc. You will hear an initial start up beep.
then a second beep, maybe one or two. Pull the throttle to zero, if you hear the rest of the esc's initialization tones unplug the battery and you have set the end points for that esc. Do the same for the rest.
Just make sure you don't go into program mode by waiting to long to pull the throttle to zero. If you think you may have got into program mode just unplug the battery quick and start over