Scoring Tools looks like it does the first thing you want to do (align the starts) with "Sync Events" and "Sync Events to Cursor", so long as you set "Sync Points" to ensure the sounds are aligned, which is different from the starts of the audio clips being aligned, where an extreme example might be that an Audio Track is recorded but the singer doesn't actually start singing until a few bars after recording starts: so the audio clip begins with a few measures of room noise but you want to align it when the singer actually starts singing.
A few thoughts . . .
I do not know how to do what you are asking to be able to do as a high-level type of action on a group of audio clips; but I think it can be done, just not as a group type of activity.
In the first example, it's probably not so difficult to move the audio clips individually to the left or right along the timeline, where this might work for subsets of audio clips that appear to be aligned the same way; but the problem is not so simple, because there is no guarantee that the sound of each audio clip actually starts when it appears to start in the visual representation of the audio.
For example, the actual sound in an audio clip might not start at the far-left of the audio clip, instead being perhaps an1/8th of a beat or less to the right. This suggests aligning all the audio clips to the same starting point in the timeline will not automagically align when their sounds start.
Depending on the width of the timeline, the audio clips might appear to be aligned, but their sounds start at different times.
Yet, if you adjust the spacing or width of the timeline so the increments or time steps are very small, then you should be able to align everything, so that the sounds start being heard at the same time; but getting it precise is going to be a one-at-a-time thing, as far as I am aware.
The first image shows how with a shorter timeline the two audio clips look aligned; but with a longer timeline, it's obvious the starts of sounds are not the same.
In the second example where you want the tails of audio clips to align visually, the key bit of information when all you want to happen is that "empty sound" or silence is appended to the right of the shorter audio clips, then the audio clips already are followed by "empty sound" or silence, but it's not obvious visually.
It might not be so visually pleasing if all the tails end at different times; but the audio clip tails already are padded with silence, just not in a visually obvious rectangular way. The shorter tails are followed by silence.