For the first question about the basketball bouncing:
The correct statement is: The gym floor pushes up on the ball as the ball pushes down on the floor with an equal amount of force.
This is a description of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, as the ball exerts a downward force on the floor, the floor exerts an equal upward force on the ball, causing it to bounce.
For the second question regarding the bird and the fence post:
The action-reaction pair between the bird and the fence post can be described as: The bird exerts a downward force on the fence post due to its weight, and the fence post exerts an equal upward force on the bird.
This also reflects Newton's third law of motion, where the action (the weight of the bird pressing down) has an equal and opposite reaction (the fence post pushing up against the bird).