husband doesn't help with the baby

Ashley
My husband doesn't help with our newborn at all! I thought this whole parenting thing was 50/50, but clearly it isn't. I had my daughter 1 month ago, and at the time, my husband was taking a leave of absence at his job due to and appendectomy. He went back to work about 2.5 weeks ago, and all of my help went out the window! 
I do the cooking, cleaning, grocery runs, laundry, diaper changes, bottle feedings in the middle of the night..everything. I've tried to talk to him, but he justifies his lack of help by saying that he has to work, so he's tired. He isn't too tired to play his video games until 2 AM, nor is he too tired to have a few beers with my brother in law after work, and he's of course, never too tired to cram in as much game time before work as possible. He works in the restraunt industry, so I know it's rough work, but come on! Momma needs some help too. I talked to him about this last night, and when he mentioned that he works so he can't help, I told him I would go back to work so that he couldn't use that as an excuse. Of course, he listed a million reasons why I shouldn't. Then, he goes on to tell me that him working 5 days a week, and me caring for our child literally 24/7 (with the exception of help from friends or family when they come to visit,) makes us equal..which infuriated me! 
Be honest, ladies..am I overreacting? Do I not deserve help because I'm a stay at home mom,?(BECAUSE MY HUSBAND WANTS ME TO BE!)
Or does the fact that he's the sole breadwinner exempt him from duties as a parent?