6 weeks in is such early days, and so hard - you're still adjusting to this huge life-changing thing. Getting dressed by noon is an achievement, seriously - it was how I measured if it was a good day or a bad day for ages.
In terms of practical help - have you been to your GP to rule out PND? Your DH is out of order but you sound very down aside from that - the moving in slow motion, for instance. Of course, sleep deprivation has a lot to answer for but it might be worth getting checked out.
Is there a Homestart (I think that's what it's called) programme in your area? They might be able to send someone to help out a bit round the house. It's a free service for new mums I believe. Your health visitor should know more. Speaking of which, have you spoken to your HV? If they're any good they should be supporting you through this too.
It will get easier, but your DH does need a talking to. Did you discuss before baby arrived how he imagined life would be? Can you discuss it now? Although having said that, my DH similarly wanted kids earlier than me and then went down the pub a lot when the reality kicked in. I think the baby panicked him a bit, the whole 'now we really do have to be grown-up' reality; call it a mini mid-life crisis or whatever. Also, it can be hard when you're used to being successful and competent at solving all sorts of problems at work, to then be faced with a screaming baby who isn't responding when you think you are doing all the things you should. DH is pretty good, but I've shouted at my baby to shut up - not proud of it, but they're frustrating creatures. Rationally, what does it achieve? It's a temporary release, a better way for me is to just put DS down and leave him for 5 mins while I have a cuppa and cry or regain composure. Maybe you could suggest to your DH he tries that when he feels himself getting stressed?
It is completely the wrong attitude, IMHO, that "the baby needs to fit into our lives not the other way around" - it makes things a lot harder if you don't just accept that life now is different and will just revolve around the baby for a while. At this stage when they're feeding so frequently and not sleeping, it's impossible (for the mother anyway) to have 'a life' aside from surviving. And the father should be trying to make life easier for his family. I don't think anyone can truly understand the reality of what life will be like with a newborn until they are there, it is a shock all round how unrelenting and demanding it is, but you need to pull together as a team and he needs to see it is a team effort raising kids, not something he can dip in and out of.
Babies do get bigger though, and it gets so much easier and better - you will get some time back to yourself in the end. Hang in there. Hope you can sort things out with your DH.