Yes this is normal. Continue to take your pain medication. Put a ice pack on the port site. Also if you are trying to sleep on your side and it hurts then don't and sleep up right. My port site was really sore and I am still trying to sleep on my sides (left or right).
I have found that this surgery affects everyone different. As long as your inicisions don't look infected (hot to touch, swelling with drainage) they are doing okay.