#1 is a transformer. Does it by chance say AC or DC? If not, do you have a multimeter to test with?
This seems rather unique and simple. I see the low voltage going to the box with switches. Would it be possible for you to draw where the wires are going to the switches and timers please?
If the transformer is AC, I think it will be an easy conversation, but want to make sure. If DC, almost as easy to more difficult. Can you provide brand& model of the valves and/or pictures please?