The problem is that at some point I had selected a large amount of clips and moved them all. At that point, some clip was not snapped to grid and all the other clips got out of grid like these here in the pic.
How do I move all my clips so that they start on beat? I've tried almost everything and can't do it. Moving them individually does the trick, but if I I select them at the same time, they do get snapped, BUT they keep their offset so that they won't snap to the beat, but always the same amount offbeat as currently.