Jesus. Here in Denmark all of that is digital. I've got an app with all of my appointments in, messaging to the various different hospitals/doctors that treat my range of conditions. I get the blood test results back - graphed so I can see if stuff is moving up/down, and booking times for appointments etc. I can msg my doctor asking for a prescription renewal, and I can see all my prescriptions past and present. With my specialists I can ask them questions, post pics of any symptoms and ask if I need to change something up.
There are multiple apps available here. (Why they haven't settled on one, I don't know!) They are not well integrated with the whole NHS system though.
I can't make doctor's appointments at the local health centre - they told me to go away and call in to join a ridiculously lengthy telephone queue! Failing that, to use xxx app. I downloaded the app, set it up, and... found that the appointments part of it is not enabled!
I tried another couple of apps. Eventually I found one that I could use. I request an appointment and eventually a doctor phones me to see what the problem is and decides whether I need an appointment.
As for my blood test appointments letters. That information does not appear on any of the apps that I have tried. Once I phoned to chase up the missing letter they emailed me in seconds. I think that I will phone them back tomorrow and request that they
always email me a copy to avoid this problem in future.