Yeah, since coming on here a few days ago my plumbing skills have come on in leaps and bounds. Think I'm just about qualified now. Check out what I achieved today!
So, the top half of the cast iron soil pipe has been cut out and replaced with plastic. All the waste pipes have been re-run so that each appliance has its own waste direct to the soil pipe, and amazingly this time around with a fall (3rd time lucky!). The shower pipes now come out of the wall on copper elbows. They have also been set at a lower height which will allow the riser and shower head to not disappear into the loft!! I have absolutely no idea what I (sorry, Plumber No. 1) was thinking there! The hot and cold feeds for the towel radiator, bath, sink and toilet (i.e. everything else!) also had to be tweaked. The pipework going to the shower has also be rerun so that the shower waste doesn't push down on it. All pipes have also been clipped to the joists.
All in all, I think this is a much, much better job and it's now very clear just how terrible the 1st "plumber's" work was.
[For the avoidance of doubt, I'm just playing along with the cynicism (if you can't beat 'em, join 'em), but neither the previous work nor the remedial work were carried out by me.]
I would like to retract my previous comment and wish you all the best with your bathroom.