There are a couple of things that can keep the motors from starting. The GPS module unplugged ot loose connection-and another is a bad ESC. When the Phantom is powered on she does a self check and will not start if their is a failure of any of those systems. Do a sniff check of the ESC'S and see if any smell burnt. Then a visual,to see if you see any damage. Especially to the MOSFETS. A visual of them may show melting or a burnt area with black residue (smoke spot) out the side of a up of them. good luck in you diagnostics.
everythiing look good
take a moment to hear the sound in the video of the ''tik'' (beep) it came from the motor.
as i said is it possible that a bad esc make the drone not powering on? and fail the self test?