3 speed bikes ..
I had the Shift cable running along the top tube to a roller at the top of the seat tube,
and the shifting cable running to the indicator chain.. down the seat stay..

That is the traditional routing.. you don't snag the shift cable with your heel,
pedaling, using that route.


Chirp? IDk , did you add oil into to the inside of the hub, is the chain oiled?

Sight unseen repair advise is shooting in the dark.