It is not normal to have cracked or bleeding nipples - this is a pretty good sign that the baby's attachment is not correct. You poor thing! It's so, so painful I know.
First, find a lactations consultant. The hospital your birthed at may have LCs on staff you can consult with. There are also private LCs around that you can pay to come to your house - absolutely worth the expense. Believe me when I say that very often these sorts of problems can be overcome quite simply IF you have the right support and advice.
You can also call the ABA helpline 1800-mum-2-mum, which is availlable 24/7 for advice and support.

Hhow many feeds is she having in 24 hours? Any issues with the birth or after?
Generally once your milk comes in we'd expect 4-5 heavy wet disposable nappies and at least a few poos. 3 wet nappies might be a little light, but it's not far off and lots of poos is a very good sign so don't panic. It's very likely that once you get the attachment sorted this will come right on its own (and it's early days anyway).

Anyway, you need in real-life support for this from someone with expertise in breastfeeding who can sit with you, talk with you, watch you and help you out. Barb Glare, our breastfeeding expert on BB, may be able to recommend an LC in your area if you try PMing her.

All the best