The first refers to taking damage if it doesn't move. The latter takes damage if it moves on it's turn, but doesn't refer to willingly. So, if a bard put the daily on him that causes him to be unable to take move actions but get slid at start/end of his turn, for example, then he'd take the damage from sliding.
In both cases, the damage is fixed (2 + your secondary stat).
He'll take damage for sliding and from hypnotic pattern, or from defender mark triggering (if it slides, naturally).
The damage won't be high at higher level but i suppose those are low-level effects. 6 kicker damage only for moving can't be ignored at level 1.
Could you please write me a couple of dailies? I know i'm very bothering x_x