I am considering buying a used Tesla privately. However there are two thorny issues on which I do not want to snag my wallet. Firstly, concerning Enhanced Auto Pilot and/or FSD. Will these feature transfer to me if they are already "on" the car I purchase? Secondly, does the outstanding period of the warranties transfer with the car?
There can not be, and unless something changes with Teslas policies, will NEVER be a DEFINITIVE answer to "Does Enhanced Autopilot or FSD transfer to me on the purchase of a used Tesla?" As a blanket statement.
This is because, if tesla ever owned the car At ANY POINT after its original sale, tesla (as the vehicles owner) can and will remove EAP / FSD from the vehicle. Sometimes that removal takes a while for it to be updated by the vehicle for some reason.
The ONLY (repeat, the ONLY) way to ensure that software features like EAP or FSD stay with the car, is to buy the car directly from the first purchaser of the car (the person who bought it directly from tesla). That is the only way you can really ensure that the chain of custody of a particular vehicle has never included tesla, after its first sale.
Either buy a used Tesla directly from the first person to own it, and verify that those features (EAP and or FSD) are on their tesla MVPA, or pay for the car at a price that assumes that those are not present, regardless of what you see on the vehicle.
On the second thing, the balance of the new car warranty (if any) transfers to the new owner in the US. I have no idea if its different in the UK. You might want to ask that in the UK and Ireland specific subforum that exists here on TMC:
teslamotorsclub.com