What do you mean by reorganize fleets?  You can only do that in game.  That's why it's called RTS.  You can't pause life an reorganize stuff.  But you can pause the game by just pressing menu.

You can change things while the game is paused.  The graphics in the game don't reflect it until the game is unpaused, but you can do it. I don't use pause for that, but you can manage things while paused.

P I think by default is set to Ping.

What I meant was you can give your ships different commands while the game is paused, but you will not see the changes until you unpause the game.

Pause the game

Tell your ships to change directions, or attack something else, something like that.  When you issue orders like that while paused, you will not see anything.

Unpause the game, then you see what you changed.

I think that is what he was referring to.

I use pause break.  When I hit it, the screen says Paused towards the top of the screen.  From there, you can do anything, you just won't see what changed until after you hit the pause break button again, and on the screen is says unpaused.