I checked the braided hose while I had everything open, and it seemed OK to me. Unfortunately I didn't read the recommendation to replace it periodically until after I got back from town with the replacement nozzle...
Yes, there is an oil tap inside the casing. The instructions said to turn it off before opening the burner, so I did. I didn't notice any leaks from it, but obviously there was a fair bit of oil around once I started taking things apart (and, especially, after bleeding the pump after re-assembling) so I guess it will be a while before that stops masking any underlying leak.
I took the photocell out and gave it a gentle wipe, but it looked clean anyway. I hadn't identified the component sitting on the pump - is it DIY testable, or one of those 'swap it out to e safe' cases?
I've had a local engineer recommended and I've left a message on his voicemail so hopefully we'll get it looked at soon, but it's a chilly time here in Scotland at the moment and when it fired up so nicely after my efforts I really hoped I had bought us a cozy weekend in the meantime. C'est la vie.