Good job on the diagnosis.
If you have a multimeter you can test the AC power by touching the common port to the zone port while the zone is running. For example, if you turned on zone 1 and used your multimeter and saw that the rest of the zones were getting around 24V as the same as zone 1 then you have 100% verified that the problem is within the controller. Frankly I'm surprised all 4 valves cranked on from this controller without blowing the fuse. So it's possible the issue could be something else such as more wireing issues, master valve issue with stuck zones ( and or manually turned on from the winter) and more with further diagnosis
However I'm leaning to bet on the controller is gone kaput
Your problem is that your controller is Orbit!!!
You have a $20 dollar controller, of course it's going to fitz up.
Please upgrade to a normal professional controller-
Hunter ,
Rain Bird ,
WeatherMatic ,
Irritrol