There were times I couldn’t stand dh when the dc were babies, and I would set myself a goal of getting through a day without snapping at him (getting to 10am was an achievement). Sleep deprivation affected my personality and I was a witch to him. I tried really, really hard to rein it in but that first year was tough for us.
If the baby needs winding after a feed that’s something that you could do, and let her get back to sleep.
At weekends try and prioritise your dw’s sleep rather than house projects or diy. Even just to hold the baby between feeds would make a massive difference when you’re feeling so “touched out”. Having a baby all the time is a huge sensory overload.
Regarding the water in the eyes and the nappies, I wonder if you’re not feeling the consequences as much as she is? I mean, do you clean up the poo explosion or is it something she copes with later? I found it very, very hard to deal with anyone making more work for me when I was struggling to manage. And after having a couple of poo explosions I found solutions (bigger nappies), wrap around vests/taking vests off down the way instead of up, etc. But if you’re not dealing with the consequence there’s no motivation to find a solution iyswim.
With the bath thing, I would have been plunged into an agony of guilt by making my baby cry and been incredibly careful not to do it again. Dh definitely didn’t have those extreme reactions. He didn’t feel the dc crying like a knife in his chest. Splashing the baby’s eyes once is a mistake but doing it many times is carelessness. I’m not surprised that’s triggering a mama bear response.
I’m more sympathetic to what you’re going through than I sound. Having a baby is a steep learning curve and what works changes daily. I remember a gulf opening up between me and dh when he went back to work and I would have found a new way to hold the baby, or a trick to soothe and he would be doing it the old way.
My best advice is listen to your wife, and let her guide you. Looking back, I really appreciate that dh took instruction and advice from me and let me lead him with the dc. He still does. He had a way of prioritising and protecting me and the baby. Even now when we disagree about parenting it’s usually because he’s worried about how it’s affecting me.
I suffered quite badly with post natal anxiety. We hear a lot about post natal depression, but anxiety and rage are also a part of the spectrum of hormonal disruption. Looking back I think what got us through those rocky early days was dh’s patience, tolerance and inability to hold a grudge. Good luck.