DS2 was induced, and it makes no difference to the milk supply.
My understanding is that milk supply is "kick started" by the body's loss of the placenta. Which is why any retained placenta can cause problems with milk supply. So as long as all your placenta is out, your body should be getting the signals to make milk.
Get the baby to the breast as soon as you can after birth. Let them suckle as long as they want and as often as they want. They won't take much in a feed for the first few days. Their stomachs are only little - about the size of a walnut.
Their suckling will stimulate your body to make milk. DS2 fed almost hourly on night 2 of his life, and my milk 'came in' the next day.
As for the jaundice, letting your LO suckle as often as possible is the best cure. DS1 had it and was kept in hospital a few days after he was born to go under lights. I was told to give him formula too, and did a bit. However, he hadn't been suckling well in the hospital so he hadn't stimulated my supply.
The best advice I got was to let him try to eat for 10 minutes, feed him either EBM or formula from a bottle and then pump for 10 minutes (5 minutes a side) and repeat every 3 hours. As time went by and my supply came up, the amount of formula I gave him went down and then eventually I found he didn't want the bottle either.
Gave my sleep-deprived, hormonally-screwed head something to work with. If someone had clipped his tongue-tie it is possible that we could have avoided this all though!
The SNS is a much better option than bottles as the baby suckling on the breast will stimulate the supply while they get "the goods".
I hope this time is much more successful for you.