I am confused about newton's 3rd law. For example if I jump off the ground I cause the same force on the ground that it cause on me but my mass is less so my acceleration will be greater and it will move me into the air.

But: I press with gravitation force on the ground so it should press with the same force on me, so if my mass is less than earth mass my acceleration should be greater as well but I am not moving (flying)?

Second: If small rocket pressure against rock with greater mass the rocket should have greater acceleration towards direction opposite to its flying path so how the rocket can actually move the rock and not the opposite?

Not sure if it helps but added picture to second question