Most basic autopilots I've used do overshoot, especially on VOR coupling, hence my preference for using the heading bug and doing it myself. It's only the more modern ones that have an element of anticipation.
What's wrong with the second question? Simply remember Extra Chicken Tikka Masala (EAS, CAS, TAS, Mach No). Whichever one is constant in the climb, the one on the right is increasing, and on the left decreasing. The reverse for the descent.
Phil