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44v would indicate an open circuit so if the LCD works on another machine the connector is probably bad.
The lines and garbage on external would still indicate a RAM or CPU issue.
Seems like all analoge inputs to the SMC are reading wrong. Common problem is the AVREF voltage is wrong so ADC converter in SMC will not work right.
Check PP3V3_S5_AVREF_SMC and U5010 area.
The usual common 00045 issue. I have no idea what it is at this time. If you want to experiment start with swapping out U4700, the common failure on these.
If it does a PRAM reset you should be able to get into the boot menu. Inspect the TP/KBD connector on the board.
If there is no keyboard/mouse connected OSX should pop up with the bluetooth assistant to connect a BT KBD/mouse.