Warcraft II
I happen to own this game myself, and I've never been able to run it under Win2K. But here's what I do know: You must have DOS drivers for your sound card. Also, that mouse thing is a known bug I remember reading about. Unfortunately, the fix is something I don't remember.

Dungeon Keeper 2
While this is not a game I'm familiar with, I did have a similar problem under Win2K with another game; or more to the point - games that required DirectX and Win9x (older installments of the MechWarrior series). In this instance, I have never gotten any such games working under Win2K.

My basic solution for running older games is a nice clean dual boot - Win2K for everything except those older games, which I ran under Win98SE. I don't have my machine set up that way now because I found that I don't really play them anymore.