I don't like threads like this really, they turn into a character assignation of a man we don't know and who can't defend himself.
I get that the OP needs to rant and blimey, I've been there myself having to pick up from other people's mistakes, but I think posting here means that you will get plenty of posters who will take great delight in informing you what an arse you've married, which will make you feel shit and even angrier.
It's not a personality 'quirk' it's just the way he is, it's his character and no doubt you found it endearing when you fell in love with him, but once kids come along you expect him to suddenly change to Mr Organisation and that just isn't going to happen. It will, in time, but look at it this way. You had 9 months of having to get to appointments, remembering notes, furious reading of baby books, plenty of advice from other mums, etc so by the time the baby was born, you were already much more prepared than he was. Plus if you are the primary carer then your organisational skills are excelling due to intensive 24/7 training.
Yet I bet that even with all that preparation and full on training, you have made mistakes yourself. I remember forgetting that I was shopping with a baby and I left her at the cheese aisle after wandering off. I also used to always, always, always forget to bring a change of baby clothes with me so when their arses exploded, I had no spare clothes for them. No-one chided me however and I had to learn from my mistakes as he will.
You are both getting used to the idea of being parents still (trust me, it takes a lifetime and you still don't get used to it) and the harder you try sometimes, the more mistakes you make.
He will learn from these mistakes but you also need to learn to go easy on him too. He is only trying after all. He thought he was doing you a favour by washing the baby's clothes along with the cat blanket. Likewise with the order, he was probably terrified of waking you in case you bit his head off. The handbag - well he thought he had done well in telling you so really, you were both at fault there.
Please don't tear him apart on this thread. I'm sure he's not completely useless and those mistakes sound like the ones I used to make many moons ago and probably still do. None of us are perfect. You are both tired and stressed and you probably do millions of little things that get on his nerves too. Imagine if you came across a similar post about yourself on Dadsnet!
I get your need to rant but you also need to put it into perspective and ignore those who tell you how useless he is, they aren't perfect either. Give it time and it WILL get easier, I promise.