Please do not listen to anyone saying you're being precious. Of course, the NHS is overstretched, understaffed, everyone's stressed, etc - but that is not your fault, and does not change your entitlement to decent care.
I speak as someone who suffered a full term stillbirth 2 years ago, after a pregnancy in which the midwives I saw (never the same one twice) were much as you describe. BP etc was never recorded in my maternity notes, and a couple of occasions there wasn't a functioning BP cuff available so they just didn't bother taking it, on the grounds that I had a normal BMI and was probably fine.
Looking back over my maternity notes after by dd's death, I discovered there had been no growth after 36 weeks (I had extra growth scans at 32, 36 & 38 weeks - I don't know why, and neither did my midwife or the sonographer - and when I queried at the time that she seemed not to be getting bigger, and they rolled their eyes and told me she was still perfectly average and not to get my knickers in a twist). All sorts of things were not picked up because there was a total lack of joined-up care and no overall record of what had happened. People were looking for what was 'average' and not looking at how things might have changed from one week to another.
I can't tell you the distress it caused me, after it all went wrong, to have had so much not communicated to me, or not bothered with, and not to have any reliable record of what might have gone wrong.
It may seem like a small concern in the grand scheme of things if all goes as it should (which is the assumption everyone makes - it'll be fine! Trust them to do their jobs!), but it is very hard to forgive yourself for not standing up for yourself and your baby if something ends up going wrong.