No. Hep c crosses the breast milk, this would be a bad idea.
Yes. Yes. Hepatitis c is transmitted by a virus in blood. There is no hepatitis c virus in breast milk, and hepatitis c has never been shown to spread via breast feeding. It may be prudent to temporarily halt nursing if mom's nipples are cracked or bleeding. If you are taking medicines to treat hepatitis c, you'll need to discuss whether those medicines are ok w/ nursing.