9:50 can be reproduced with a black solid and Lens Flair by animating intensity and using the screen or add blend mode.
11:10 looks like a freeze frame. You do that most easily by setting the CTI (current time indicator to the frame where you want to freeze, setting an out point for the layer and then choosing Layer>Time>Freeze on last frame.
11:44 is a freeze frame and then an overlay of footage of the smoke effect.
After Effects is not an editing program. Each of these shots would be best handled in a separate composition and then rendered to a suitable production format, then edited into a movie in a non linear editor like Premiere Pro.
To learn how After Effects works please start here and plan spending several days getting the basics down. Basic AE
Hi! Thanks for answer, that was helpful! I've got one more question - there is nice effect at 11:00 - animated blood explosion and blood on the ground. I clearly see, that this is made by author, so can I do same thing in Adobe After Effects or I need other program?
Same thing... just have to learn After Effects and build things in layers. Any visual effect you have seen in any movie or commercial that has ever been made can be composited in After Effects. Some will require that you purchase 3rd party effects, some may require that you purchase advanced 3D modeling and animation software that is compatible with AE, but anything you can think of can be done in AE providing you have the right amount of planning and execution and that you are willing to spend the years required to learn how to do this kind of work.
To get you started: Basic AE
I have one more question about one more specific effect which I think is easy to make.
Is this some kind of spot light? Im going to start learning things right now but I need to make this one on my project as soon as possible, so fast answer would be really helpful
That's done by animating the layer's position & scale using keyframes. And a text layer..
I'm sorry - 6:58. Mistake.
Can someone tell me how to do effect from 6:58?