Chosen Solution
This one had endured a tropical rainforest, which fried the display, but was still working on external monitor. I think, if I remember correctly, even keyboard and trackpad worked then on external monitor. So I installed a new LCD, and it boots up fine, except now the keys and trackpad do not respond. All else is fine. Maybe just the cables? Also need to mention that C2837 was corroded and came off. It is part of DP_TBTSNK_ML, Thunderbolt circuit, if I understand correctly. Would that influence the trackpad and keys?
I would give a good look under the microscope at the trackpad/keyboard cable, easy to bend pins when plugging it back to the board..especially in A1370 the cable quality is pretty awful. I’d check and replace that first and the trackpad as second step, that should be enough. I wouldn’t bother about TB at this stage.