It does sound like you have a broken pipe. No pressure, and air entering the line.
Look around for leaks. It may not show to the surface immediatly. You can run the zone for a while and look for "water warts" under the grass, and muddy areas. If this still does'nt work. Then you may have to cap the sprinklers on the zone to "force" the water to the surface.
If al else fails..........then it may be best to call in a pro.