OK...
Zone 1 - You have water passing thru the valve (leak when solenoid open). Either the line between the first head and the valve is plugged, or broken as water does not get to the first head. Leave the valve open a bit and see if you have some soggy ground show up (broken pipe).
Zone 3 - Check the wiring at the valve to see if the connections are tight. If you have a voltmeter, check the voltage at the solenoid when the zone is on from the control panel (should be around 26v AC). If you have voltage, the solenoid is likely dead, replace it. If you do not have voltage, go to the control panel and check the voltage across the screws for the COMmon terminal and zone 3. If you have voltage here, then the wire is broken somewhere, if you do not have voltage, then the controller is messedup; either replace or move the wiring to an open zone.
Zone 2 - leave it alone...it works