The super early stage is really hard. I remember visiting my family doctor, convinced that my son was teething / ill / whatever and being told... no, they're just like that.
I'm sorry that you're feeling so frazzled, but it will pass. Each day feels like a year at times, so that probably doesn't sound very helpful. I found the baby whisperer (as I said in my article) super helpful. The idea is basically to separate feeding from sleeping: feed, a little activity, then sleep. That's all you can really do and roll with the punches / avoid the pitfalls and get into the good habits I outlined until they're a tiny bit older. Once their tummies are a bit bigger and they can take on more food, then they have the ability to sleep for longer stretches / you'll feel less guilty for any sleep training that you decide to do. Some parents get lucky and have less hungry babies, which is why I think they sleep through from a younger age. I have no concrete evidence of this though, just anecdotal. A lot of the "easy" babies didn't turn into easy toddlers, so don't worry about that aspect of things.
My son was a milk monster! I had to breastfeed him hourly for most of that hour for his "cluster feed" in the early days. I think that's why he slept so badly. Once he was eating solids after 6 months it really helped a lot, with how long he would sleep at night plus the baby whisperer sleep training worked well. In hindsight in my own particular situation, I should have started weaning at 5 months. There was a huge dip in his weight chart and he was a nightmare! I dutifully followed the NHS advice, but one size definitely does not fit all.
Really good luck with it. Try to stick with the good habits, avoid the bad and it should come right for you eventually.