NHS jabs

Was told by letter to arrive at a health centre at a particular time for junior's inoculations. Queued at GP's reception desk, was told it's in the clinic which was in a different part of the building. Queued at reception there, was told that junior wasn't on their computer, so we'd have to go back to the GP's reception and get that sorted. Queue again at the GP's, to be given two forms. One was the standard NHS form, and the other was the standard GP questionnaire. The second included questions like how much junior smokes and drinks, whether junior has a full time carer, and lots of questions about medical history when there is no medical history. Ten minutes to fill all that out. Queue again to hand it back, to be told they're very busy but they'll enter it into the computer as soon as they can. This took ages because the receptionist kept having to deal with other patients and answer the phone. Back to the clinic, queue again. 1hr40min after arriving, junior got the jabs.

That's nearly two hours (spent milling around ill possibly contagious people) I'll never get back.

How did they generate the appointment letter without junior being on their database?

Surely so many resources must be squandered because of processes like the above that nobody takes ownership of and improves. Smaller queues, less demand on receptionists, more of my time for earning money, an emptier car park, less time around sick people, which in turn leads to fewer sick people, etc.