@flux capacitor , mate, you don't have a scooby do.
Sorry but you have no chance of convincing LABC that you are competent to carry out the electrical works that you envisage.
This is so very basic and has been part of the Wiring Regulations since the 17th edition (got a copy? I thought not)
If my son and I, both electricians for many years, both with paper qualifications, including in my case a degree in electrical and electronic engineering, had a hard job to convince the LABC inspector that we had the skill to DIY, what chance do you really think you have to convince the LABC inspector? Oh and when he visited BS7671:2008 which was then the current edition was sitting on the table together with the three meters needed to do the testing, and my son had insurance as at that time he was a sole trader.
I think we can tell you loads on this forum, and you could possibly install it all, but if it costs as much to test and inspect as it would cost to do whole job, then what is the point? Don't get me wrong, electricians are no angles and we may break the rules exactly the same as you, but when self certified they don't have a problem. And with a building inspector about hardly likely to break rules.
As when I did the wetroom council already involved, they have their own rules, we had no intention of fitting an extractor, it had opening windows so rules say not required, however LABC inspector said must have an extractor as ground floor so we would no open window as some one could look in. OK fair comment, however hardly ever switched on, so I was right.
The same applies to RCD protection, you know where the cable runs to the shaver socket, you know the tiles are super hard and on one will try drilling them, and since the socket has an isolation transformer in it output is IT so any earth fault will not trip a RCD so totally useless, but you still have to fit one.
OK give the LABC inspector a go, and ask him, but I would be very surprised if he lets you DIY electrics, unless you use an electrician off his list to check it after and then the cost will be same as if you had whole job done.