ASSUMING THE SYSTEM ACTUALLY WORKED, then I would think you would need to "start over"... except for perhaps getting some wire and extending the controller down into the garage.
From what you've described, it sounds like you tried to manually activate the zones with the controller, that the system includes a pump for boosting water pressure, and that when you tried to turn the system on, the pump started, water leaked around the valves, and nothing was watered.
If so, it sounds like perhaps something with the controller is managing to activate the pump, but not the zones. You might want to try something like getting the pump to start, but then manually turn "on" one of the valves (usually requires turning the selinoid on the top of the valve about 1/4 turn).
BTW, where are the valves located... if you're getting a puddle from "leaky" valves anywhere INSIDE the home, then that doesn't sound like a good thing... and while I don't think there should be ANY Leaks (I built mine to maintain water tightness) I can see someone installing stuff on the "cheap" and no care about a minor leak if the leak only occurs while the system is running.