I'm not sure any Peggy Lee songs were used on Suits, but you may be thinking of another TV show-- Mad Men. Peggy Lee's 1969 hit, "Is That All There Is?" was heard during the final season of Mad Men, beginning in April 2015.
Lost!
I think it was Good Enough.
"I can't go for that", by Hall and Oates.
Six Feet Under. Season 4, Episode 7 "The Dare".
There doesn't seem to be one, although the pilot episode used "The Puppy Song" by Harry Nilsson. The song, which is from the 1969 album "Harry," was written by Nilsson at Paul McCartney's request.
Henrieta - By Harper Simon
This Is Christmas by curtsmith
The song used at the start of this particular episode was "Forgetting" by David Gray.
Vitamin D
Lost!
Girl nextdoor.
The episode is titled "Don't Make Me Over" and is episode 4 of the 4th season. The episode features the Journey song "Don't Stop Believing."
If you are talking about the episode called Dark Passge, the song at the beginning is 'Catching Up' by Orange, the same band that did the theme song for it.
The song was My Immortal, from the album Fallen by Evanescence
Technically Peter didn't found Quahog, Griffin Petersondid and the only song featured in that episode is the Revenge of Nerds techno song used at the talent show.
Unstoppable by foxy shazam
Kangaroo Jack