If you are only using AE and not SV, you could accomplish the shaking effect from 0:51 from just
animating the position (click the layer you want this effect to apply to, press "P", then the little clock in front of the word "Position"). What this does is basically allows you to change the layer's position from frame to frame. Of course, when you do this you'll have a translucent layer behind it
(or just black if there's nothing underneath the layer) so I would recommend increasing the scale as well to compensate for the position's change. And then, for a few frames or however long you want the shaking effect to be present, change the position in the desired frames. To slow the shaking down increase the length of frames
(i.e. instead of changing the position every single frame, change it every three frames, etc), to decrease the intensity of the shaking, don't change the position very much.
For the fade effect, I like to use SV for clip assemblage and transitioning, butttttt you could do it in AE as well. You could use two clips: A,B
(A being on top, B on the bottom) and overlap them at, for example's sake, the first five frames of A and the last five frames of B. Then you could open the opacity
(click on the desired layer, press "T") and animate it
(Press the little clock to the left of the word "Opacity"). Start off clip A on frame 1
(of the overlap with clip B) at 0% and then, on frame 5, put it to 100%. Do the reserve for clip B: frame 1
(of the overlap with clip A) at 100% then frame 5 at 0%.
Then you would
animate your clip's scale to create the appearance of a rapid zoom (click the desired layer, press "S", then click on the little clock to the left of the word "Scale"). On clip A you could set frame 1 to be perhaps 200% and then frame 5 to be either 100%, if you would like a quick zoom out that immediately stops with the transition. If you want it to keep going, you could set frame 5 to be 120% and then the end of clip A at 100%. Again, you do the reserve for clip B: frame 1 at 100% and frame 5 at 200%.
The editor appeared to use a little blur to give the zoom a little more liveliness, so I would suggesting adding an adjustment layer
ON TOP of both clip A, B and then animating a blur effect
(maybe a radial blur or a vector blur or whichever you feel works best) to work during those five frames. At frame 1, there would be little to no blur and, either at frame 3 or 5, you could make it reach its maximum blur and decrease to little or no blur at frame 5 or 7 or whatever.
Again, the lengths and the percentages are all just for example's sake, you should make it as long or as intense or as whatever as you want! And sorry if I wrote this like it was for a beginner! Just in case anyone else wants some advice as well hahaha
-Kristin 
