Simple T/F question about Physics?

A cart slides down an inclined plane starting with velocity=0 at the highest point. At this point the kinetic energy is maximum.

False - kinetic energy is calculated by E = 1/2 mv^2, normally, kinetic energy increases as objects move down an incline as the potential gravitational energy is converted into kinetic, therefore, at the top, the kinetic energy is minimum

*The cart continues sliding down. When it gets to the bottom of the hill, it crashes with wall and stops. At the moment of the crash the kinetic energy is minimum

True
As it crashes, the kinetic energy is converted into other type of energy (heat, sound, shape transformation)
Since all of the energy is converted, hence coming to a stop, kinetic energy is therefore minimum

*Now before the cart crashes with the wall, we add a spring that pushes the cart back up the hill. The cart is able to go back up because the spring transmits its potential energy to the cart.

True
If we ignore air, resistance, friction, and energy losses in the spring, it should redirect the motion of the cart up the hill