Check for a restrictive upper lip tie or tongue tie that can affect the latch and make baby gobble down lots of excess air and vomit their milk back up. It would also cause her tummy pains from excess gas. I wish someone told me about that a year ago.
I had a non-sleeping baby and was driven almost mad with exhaustion., Rely heavily on family or friends if you can to get rest during the day. Help from my parents got us through. Hopefully this stage will pass quickly for you, but if not there are heaps of places to seek help and some of the telephone numbers for those places will be listed in your baby's health records book. Find those numbers now and don't hesitate to ring them if things don't improve.
Wrapping (swaddling) with pure cotton cot sheets was one thing that helped us a lot.