Don't worry, this is very typical. The first few months are extremely draining as you muddle through your sleep-deprived days. Your days will get easier though. It's part of rite of motherhood. : )
As your son grows and develops, his sleep patterns will continue to change. The older he gets, the longer he will sleep at night. But keep in mind, if your son is breastfeeding, it is totally normal for him to wake up more frequently than a formula fed baby for feedings.
Your best bet during the "newborn days" is to sleep every time the baby sleeps. It may sound crazy, but it's the best way to make sure you're getting your much needed sleep as well as able to stay alert and coherent while baby is awake. Don't worry about the laundry or dishes. Use paper plates and frozen meals during this time. If possible, ask friends, family, etc. for help with the housework. Right now your main priority is to take care of yourself so you can take care of your newborn.
Enjoy your baby! Believe me, this time will fly by. Before you know it, your baby will be sleeping through the night and cruising around the house. Have fun and congratulations on your new baby!