My fiance has a sex addiction

Ugh I'm so annoyed/ frustrated. So I've been with my fiance for 3 years. He's 9 years older than me and I'm pretty sure he has some sort of sex addiction. This guy looks at porn EVERYDAY and legit gets angry at me if we dont have sex like 4-5 days a week. We have a 6 month old daughter together and I work 40-55 hours a week so I'm tired and he isnt romantic about it AT ALL. So sometimes sex is just not on my to do list. I've tried to explain that my body went through a lot with having the baby and my hormones changed my sex drive, but he doesnt get it. Before anyone says it- yes I still make time for him and we have sex a couple days a week which I feel like is fine.

I'm getting the silent treatment this morning for not doing it last night. He is POUTING hardcore and when I left for work this morning, he refused to say he loves me. I'm sick of being treated like this and he knows it- yet continues to guilt me into being physical with him and making it seem like the only way he feels loved is if we're having sex.

Any tips for how to handle this?!?! Am I in the wrong here?