I'm not sure that I understand your question. If the question is can you move several layers up or down the timeline (change the in and out points all at once) the answer is yes. You just select the layers and drag them in the timeline.
If you want to move several layers with motion keyframes for example to a different position in the composition frame while maintaining the original relative positions the answer is also yes. Just press u to reveal all of the keyframes, then shift select each of the keyframed properties in the timeline so that all keyframes are highlighted, then click on any one of the position keyframes in the composition window and drad the layers to their new position. The only trick here is to make sure that you click exactly on one of the keyframe icons in the composition window. Select a layer or a motion path and you'll deselect all keyframes and you may set a new keyframe for just the selected layer.
You can move the selected keyframes left or right by simply clicking and dragging the keyframes. Make sure that you are hovering directly over a keyframe. When you do that Layer 3 will become deselected and only the keyframes will move.
If you just grab layer 3 then all the keyframes will move.
You could move the CTI to the first keyframe in layer 5, then set a layer marker on layer 3, then drag layer 3 to it's new position, then select the keyframes on layer 5 and 2 and drag them to line up with the layer marker. Holding down the shift key will make keyframes snap to the marker.
It doesn't work the other way around. If you move the keyframes then try and snap the layer marker to the keyframes it won't work, or at least not work reliably.
I hope this helps.
Thanks, I was doing it in a similar way and was wondering if there is one step workflow. It would have been nicer if it was possible, but using your tips will make this process easier