A: Yes, you can only move one space at a time. Since you might be carrying pieces on top of the one you’re moving, you might be moving more than one piece at a time, but the movement itself is just one space.
So if there is a piece in the space you wish to move into, but it’s not the same size or larger, then you just can’t move into that space. You can’t jump over it.
Also remember all movement is orthogonal, which is to say, no diagonal movement.