when was the battey last replaced in the main alarm panel? I would recommend you get a new battery 12v 7ah is the correct size.
The faulty battery in the panel will be dragging the voltage down on the rest of the devices on the system. when the pirs fall below a certain they will go open circuit and alarm (I am guessing zones 2,3 and 5 are motion detectors).
replace the battery in the panel.
jim
July 2015