Thank you very much for the offer Rick, however you are in Hampshire so I suspect a good distance from me and I wouldn't want to put you out. If I really want to keep the costs down it could be an option though......
I hear you and it is difficult repeating what the mechanic said word for word as I can't remember exactly. I do know it is miss firing from 4 cylinders.
Actually I am the project type, I love cars, I have a Honda Prelude Type S freshly imported from Japan tucked away in the garage for show season. However, I don't tend to do anything but the simplest jobs myself. The lexus was supposed to be a reliable workhorse to get me to work and back, I wanted to run it in banger economics fashion, basically spend as little on it as possible, this was never going to be a restoration project.
Also, to be clear it is not leaking from above, we have had several bouts of heavy rain since the drains were cleared and I had the rear carpets up and was checking daily for water ingress and nothing. The carpet is now dried out, I stuck some socks underneath it filled with cat litter which did the trick. Now all removed and carpet refitted.
Compression is something I raised early on, my mechanic doesn't suspect it, but again, he still has to take everything apart in order to do that test and once he takes it all apart I am then into spending on it regardless of the diagnosis.