Newton's first law: An object in motion will stay in motion, unless acted upon by an external force. Likewise, an object at rest will stay at rest unless acted upon by an external force. You and your friend are at rest, and will remain that way unless a force acts on you two. However, you pushing on your friend is an external force. The force is equal for both of you (newton's third law) regardless, both you and your friend are now moving in opposite directions at a constant speed. Your arms outstretch, and your hands disconnect. You are both now moving at constant speeds away from each other, for all eternity, unless some other force acts on you.
Newton's second law: Force=mass*acceleration. If you and your friend each have a mass of 100kg, and you push with 10Newton's of force, relative to a stationary object, your friend will accelerate at .1m/s^2. They will continue to accellerate until you stop pushing, or your hands disconnect. You now have 0 acceleration, but a constant velocity away from your friend (Newton's first law)
Newton's third law: For every action, there is an equal and opposite reaction. When you push your friend, you don't magically stay still. If you give them 10 Newtons of force, you are also receiving 10 Newton's of force. So relative to a stationary point, both you and your friend are accelerating at .1m/s^2 away from each other.
I hope this makes sense.
Air is just a bunch of molecules floating around. You can push on these molecules to get "leverage" airplanes, and helicopters use this to great extent. However, your friend is also a bunch of molecules. What is so special about the molecules in the atmosphere rather than the molecules in your friend? Why are they different?