A ghost immobiliser is a product from PFK electronics/Autowatch - https://www.autowatch.co.uk/veh-sec/ghost-2-menu
Similar to IGLA or other CAN bus immobilisers on the market.
Of those I’d get the Ohme because it would allow you to switch to the Intelligent Octopus Go tariff. I’d also get it from Octopus because it appears cheaper than from the site you mentioned.
Normal in that there will always be a gap. If there was movement it wouldn't take long for the holes to become larger, the studs would be damaged (being softer than the disc) and everyone would always have clunk noises.
The plates stop squeal so that isn't your issue.
The oversized holes on the brake disc look normal to me. There will be no movement when the wheel nuts are done up correctly.
Random cylinder misfire error or multiple cylinder misfire errors are a result of something common such as fuel or air because multiple plugs or coil packs don't fail at the same time.
Cylinder 2 injector is fed by the end of the second fuel rail - it makes sense that a fuel starvation problem would manifest itself there first.
and the Lexus RX with people’s premiums going up x4.
Telsa 3 and Y are pretty much unstealable at the moment. The premium increases seems to be related to the high cost of repair, somewhat due to parts availability causing 5 figure hire car charges.
Normally this type of noise is pads moving from one end to the other, and typically happens once if you reverse out of your driveway which will move then pads on one direction and then you hear it when you make you conduct your first forward stop. As eight has mentioned, easy to check - do low speed heavy braking going both forwards and backwards a couple of times. The cause is missing end clips, no brake grease on the ends of the pads or worn calliper. Another common cause is the sliding pin with the bushing on it - someone forgot to put the bushing back on so there is play.
All manuals are available electronically and IMO are better as you can quickly search for the information you are looking for. Lexus will normally, on request, provide full paper manuals to the first owner.
https://www.lexus.co.uk/owners/about-my-lexus/manuals#/
Throttle body cleaning is normally the first thing to check/perform when you have an idle issue but worth making sure vacuum hoses are in good condition and that you can't hear any air leaks. Coolant temperature sensors can cause idle issues, but that is more related to the LS400 rather than LS430.
If you have access to a diagnostic tool that can show you rpm/engine temp/fuel trims etc it would help eliminate a faulty sensor, if not start by cleaning the throttle body and MAF sensor.
The LS has always managed at least 10, although we are more than 1/2 way through the year and it's only at 5 so far 😬
https://media.lexus.co.uk/wp-content/uploads/sites/3/pdf/Lexus-UK-Sales-Figures-August-2023.pdf
The driveshaft is one piece from a Lexus point of view - the cup cannot be removed/replaced. This is a picture of a replacement shaft taken from Rockauto - about £70.
Yes that is ridiculous but it's the standard price a Lexus dealer is going to charge. You could import 2 driveshafts from the US and get a local mechanic to fit all in for under £400, and probably half that if a generic gaiter can be found that will fit.