Feeling unappreciated

I've been with my partner for just over 5years we are both under 30 and he is 3 & 1/2 years younger than I. We have a nearly one year old, it seems in the last 6 or so months our relationship has gone downhill. I'm not sure if he feels the same as I do. I don't work and stay home with out baby, he works 5-6 days a week. But I feel like it is a constant competition of who has it harder, who is more tired etc. I don't believe I ask much of him, I do the house work, cook dinners, do EVERYTHING with our daughter, feed & look after the animals etc. I am suffering with mild PND and sometimes I get so overwhelmed by the housework and it just gets away from me. Evenings tend to be the hardest as I feel everyone wants something from me all at the same time. My time management isn't great but I'm trying to cook dinner, feed the baby, feed the dogs and take our old dog who needs help out to the toilet, clean the kitchen as I cook, bath the baby and get her to bed. He walks in the door at this time and doesn't want to help. He wants to come home from work and sit on the couch and play on his phone. I have to nag him to help with our daughter, he loves and is happy to play with her but is never proactive and it drives me insane. I try to get the dogs fed and dealt with earlier and manage my time better but some days it's not possible or time just gets away from me. I'm currently sick and on Sunday he went out all day and left me with the baby and the old dog and didn't come home til late. He knew I wanted him to stay home and help with them as I was feeling awful. I just feel like he doesn't give a crap about me, it was my first Mother's Day this year and he went up the street on the day and bought a card and a box of chocolates coz he hadn't organised anything. Wrote on the card in front of me. I tend to go all out for birthdays and such I made his first Father's Day very special. It's not the size of the gift that bothers me, just that there's not forethought at all. Am I being a sook? Please don't be nasty in your answers. Thank you.