I am going to say something that probably not going to be popular. I will use myself as an example and maybe ruffles less feathers that way. When Ken I first started our relationship, I always cooked. Dinner every weeknight, three meals a day on weekends. With the occasional pizza thrown in, that was what I did. After A bit, I started getting frustrated with the expectations. Then I read something here on BYC. What you start doing for someone us usally expected, and most find it odd when the other balks suddenly. If you start it you better finish it. I am just thankful that I have him. He doesn't run any errands, he doesn't cook, he doesn't do laundry. He does outside, I do inside. I think my duties are a bit on the heavy side, but I gladly do them because I love him. Not to keep it clean, but because I love him.
With a new baby and a 16 month old, My personal opinion is that an outside party (marriage counselor) needs to hear both sides and work with you two. This is a trying time and you both need someone to listen to each of you.