What voltage is on L7701, pin 1 and 2?
What voltage is on D7701, pin 1 and 2?
Is there even image?
Do you get USB activity, or chime?
Assuming yes, or at least DP_INT_HPD is high, post voltages at Q7700.
Check continuity to R5490.
Corroded XW7720 is common failure on Airs...
Sorry, my mistake; it should be Q7706, instead of Q7700...
As no voltage at L7701, check F7700 and post Q7706/07 voltages.
"F7700 pin 1 8.6v and pin 2 .01v"
F770 blown, change it...
Be sure no short on backlight area, before power up the board.