As pro and sine have meanings that have little to do with motion, they can occur in any kind of sentence.
dormit sine timore
currit sine timore
loquitur sine timore
sub is another story: this is a preposition that can be followed by both accusative and ablative. It is followed by an accusative when its meaning is "moving under something" and by an ablative when meaning "being under something"
custos sub murum it - he comes from the plains, and is going towards the wall
custos sub muro stat - he stands there, and probably has been for some time
I sometimes wonder about your book, blutoon, it seems to make things harder than they need to be sometimes.