EK61 . . . . . . .
Initially try this . . . wherein the monitor is still intact . . . . being able to have video, even if from induced menu . . .and the set can be turned on.
Is there a LED illumination lamp normally associated with the off on switch so that you can confirm that there is a switching /contact action positively confirmed when the power button is FIRMLY pressed in ?
( Some of these units panels warp such that this plate won't press in far enough to touch its associated tact switch button.)
If no question on that mechanical / electrical interfacing aspect . . .then:
Have access to the power board section and Initially note its quasi centrally located big "Jellow" colored switch mode power supply transformer.
Take note of those 6 GREEN circled capacitors that surround it.
Sneak off and confiscate Mamma Cass's blow drier . . .flip to high heat and run a fast running CIRCLE in heating up the mentioned caps.
DON"T melt the plastic . . .just bring their temperature up for about 1 -2 minutes.
Set down the drier and try the power switch of the monitor.
If you are then rewarded with a display, those caps need to be replaced with like values in a rugged 105 degree Cent temp rating.
I cannot see any problems with the boards, except the larger one appear quite discoloured on the underside.
That is the area being just below that hard working yellow transformer that I mentioned earlier.
Standing by
TECHNO REFERENCING:
73's de Edd