No
Exactly the same as each other.
It is an example of inertia.
rubber ball
It is not exactly the same, but it is very similar. A space hopper has handles, and a regular rubber ball does not. A space hopper is also much larger than a normal rubber ball.
because cricket ball has greater mass
It is an example of momentum (sometimes called "inertia"). Velocity x mass. The bowling ball is much, much heavier. With both rolling at the same speed, the bowling ball is harder to stop because it has much more mass.
The simple answer to this is that the rubber ball is more 'elastic' than the tennis ball and, assuming they are both dropped from the same height onto the same surface, the tennis ball 'loses' more energy than the rubber ball when it strikes the surface the ball is bouncing off. Of course no energy is truly ever lost but rather it is transferred or converted into other forms, in this case the energy will be converted into thermal energy (as the balls deform upon striking the surface due to friction within the materials), sound (the noise you hear when the ball strikes the surface) and to varying extents energy is transferred to the surface which the balls are striking. This energy 'loss' is the reason why the balls do not return to the height the balls were dropped from originally and the amount of energy 'loss' will vary with the type of ball dropped.
No, the base is concidered in-play and still a live ball. It is the same thing as the ball bouncing off a fielder or a rock.
Friction
If they are both solid, and the incline is the same, the rate of acceleration will be the same.
If they are both solid, and the incline is the same, the rate of acceleration will be the same.
If the ball is lighter than the hard ball, then it is because a heavier ball has more force when moving at the same speed as a lighter ball. If they weigh the same, then it is because in some instances, with certain materials, a hard ball with a lot of "ping" to it will bounce further than a rubber ball, due to motive energy being converted to heat in the polymers of the rubber ball, thus decreasing the total motive energy.