.....part 2.....
When the circuit is operating properly, the voltage across these two pins is 150 volts AC. Remember - this is AC, not DC. So the first step is to set your multimeter to measure AC voltage in the 200 Volt range. How to do this varies between multimeters, but remember, each meter can measure AC and DC voltage. You need to set it to measure AC.
Now, connect the MPC3000 to the mains and flick the power switch on. Safety advice here - Do not touch components with your bare hands. Be advised that some parts of the Filter PCB carry mains voltages that are high enough to cause serious injury. So don't poke your fingers in there
More safety advice: You will soon need to touch the probes of your meter to the pins of P855. Be careful not to touch BOTH pins with the same probe at the same time, and also be careful not to touch the metal part of the probe while it is touching the pin - because the probe will be live, and you will get zapped
Your meter will have two probes connected, one red and one black. Touch the black probe to one leg of P855, touch the red probe to the other leg. And now take a note of the reading on your multimeter's display. You should see a reading close to 150, which means 150 Volts AC.
If you see a very low or zero reading, it could be because the backlight power is switched off. To switch it on, PUSH the contrast knob, very firmly, one time, until you feel the 'click' of the switch. Now take the measurement again.
If you see a reading of 150VAC, or somewhere close to that (a few volts higher or lower is fine) then this tells you that your inverter circuit is working properly. So, a replacement backlight will brighten up your display

If you get a very low reading, or a zero reading, you have a problem with your inverter. This will need to be fixed before your backlight illuminates.