Your front/left motor is the one not working in the vid, not back left, I can see why you crashed.
Just poking fun man.
Your stock motors are the newer upgraded ones, and your ESCs are also, so make sure that you get the V2.0 one for your replacement, the one in your link is correct, you wouldn't want the V2 one which looks identical. Also, put your old motor back in as I doubt anything is wrong with it, then if it is bad with the new ESC get the same newer style motor to replace it. The newer ESC doesn't have the last 4 sets of beeps on power up. Plenty of vids and such around to compare yours to that only have the first set of beeps. You will also want to check and make sure the motor is spinning in the correct direction after wiring it back up, and if it's wrong just swap any 2 wires you feel like to correct that.
Your props only need to be spun on by hand, and then just barely snugged by hand to make sure it's on there all the way. A crash can/will also crank those things on tighter as well. They make a tool for holding the motor still, as you don't really want to be sticking things into it as it could damage the windings.
If you want to code up an ESC to shut down under too much of a load so that it 'might' save it's output FETs in a crash, you also run the real risk of that happening during a perfectly normal flight where one motor is just working harder to keep things level and drawing more current than usual. That's a really fine line to walk when only dealing with the ESC and current draw as your sole source of input for what is going on with the thing. If you also had access to the Accelerometer, Gyro and Barometer data and such, you could tell if the P2 was just trying to right itself or if it was sitting still trying to right itself, which is where most ESC boards get toasted as a prop is jammed on the ground or up against something else and can't spin.
viewtopic.php?f=5&t=28252
The only thing I've seen fail so far on these things are the output FETs, and while they're not easy for the typical user to replace, it costs less than half of what a new ESC does if you can. They tank in the event of crashes as the prop gets stuck on something and can't move, but the Phantom is trying like mad to right itself. Since the prop can't spin and use up that current, all of it just ends up nuking one or more of the output FETs. A little more practical solution is a kill switch for the ESCs, as that CSC command takes far too long to be of any real use in the event of a crash or fly away as those few seconds count, but then you run the risk of the average user hitting that thing by 'mistake' all the time and dropping their P2 out of the sky when nothing is wrong causing damage that otherwise wouldn't have happened.
