stiffstink that is so funny!
OP my eldest had reflux, but at least he did actually feed. I had so little sleep though, I hallucinated. I spent the first few months of his life walking and walking and walking around the city at all hours of the day, and night with him strapped to my front and dummies etc secreted around my body (which he would no doubt spit out after 10 secs in disgust). I ended up looking like an emaciated drug addict due to the lack of sleep, food and having to constantly be on the move.
As others have said- crying is worse in an enclosed space. Get out there. It also meant that when I could actually start going to baby groups lots of people knew who I was haha (Oh I've seen you walking about lots. You're that woman with the sling!)
You are obviously looking after your baby really well and doing everything possible, but you need to look after yourself too. Baby is just going to have to scream in it's lovely seat whilst you have a shower if you are going to have one, or scream whilst you put a load of washing on. 10 minutes or so of crying is not going to kill them, even though it drives you nuts. Babies always sound louder when they are your own. When they get bigger you realise that little ones don't actually make that much noise, a toddler screaming, well THAT'S a noise!
It will get better OP. And if this is your first baby, all the subsequent ones will seem super-easy! And all those people with gurgling, happy, sleeping babies...well...their time will come when things aren't going so great. Yours just happens to be at the start.
My pain in the arse baby is off to secondary school in September. He's loving, kind and helpful. He can go places by himself. He can cook a snack meal by himself. I can lounge in the bath as long as I want (ok maybe I end up with children deciding that they really need a long shit RIGHT NOW whilst I'm doing that).
It seems like only yesterday he was that screaming baby though- time goes so fast, and this time of difficulty will pass.