Hi Ken,
Those are a bit confusing. The 12 volt is your power to the controller unit, so that is what powers the display. Then that other plug is for your solenoid. You plug it into the wall out let, then your solenoid into that and then the controller can turn what ever is pluged in on and off.
On the probe, if any one local makes probe holders, that is best way to go, if not, using suction and silicon works well. It's best not to submerse the probe completely in the water, usually up to about the black cap part of the probe.
thanks