Oh didn't know that, well regardless I think that Lews Therin's titles had more to do with his position as "The boss" in the Age of Legends since we have enough similarities to Third Age things to draw a line.
"The Hall of the Servants" = The Hall of the Tower and the like.
If I had to guess the Tamirlyn was the precursor to the Amyrlin Seat and Their ring was a Tar'angreal of some sort. Sort of like the Rods of Dominion (Oath Rods)
I would say Rand lighting his pipe is just a matter of him having a very intimate Knowledge of the pattern and how it is created.
Remember when he fixes the bore properly he isn't weaving The Five Powers, or Saidar and Saideen individually he is weaving them "In a new way."