Is there a rain detector wired into the system? Have you performed a resistance check of the zone wiring? That gives you both a continuity check and an indication of the solenoid 'health' - one ohmmeter lead to the system common, and one lead to the zone terminal.
Older ESP controllers can get problems with the central dial. It turns and moves into position just fine, but it might be fluky as far as actual continuity goes.
You should remove the excess dirt from the valve box, so you have a view of the zone valves and their wiring. You also will be able to manually operate a zone valve, without needing the controller.
I'm not sure if there's a rain detector or not.This is my first time ever looking at a sprinkler system so I'm just googling things as I go.
Going to try the resistance check now, I think I can figure that out.
Also going to try to manually operate a zone as you suggested. The grass really needs it.