Secondary power modules can be installed hot swappable, no need to power down switches, correct?
Correct. Plug-and-play.
Secondary stacking cables, does it matter or even required to criss cross them among the 2 switches stacking ports?
Example: switch #1 port #1 to switch #2 in port #2. Switch #1 port #2 to swich #2 in port #1? Does it matter to do it this way?
I don't know about the rest but I would. This is due to redundancy if the stack should grow. The problem I see in this (regularly) is that I understand how these stacking working (and how they need to be cabled up) but not everyone does. So if I don't set the standard and no one will follow. I've seen a large stack and the stacking cable was simply cabled up without any thinking.