Help: breastfeeding and sleeping question

Brittany
Hello! First time mom here! Have some questions I hope you can help me out with...thank you in advance!
1) My newborn (5 days) has no problem breastfeeding. However, he can basically only last through one session (10 min/side) before being asleep. How do you make sure you child makes it to both sides?
2) in the hospital we slept skin to skin. Now that we are home I am trying to get my son to sleep in the co sleeper (the type that looks like a small pack n play). He has no problem sleeping in it during the day, just at night. How do you get your baby to sleep in a co sleeper?