A very basic answer here, the faults you list are 100% down to the dealer, under consumer law, sale of goods act you are covered for any malfunction for the 1st 6 months end of.
The exclusions to this are where you pay a substantially reduced to reflect any faults, which must be listed, or fair wear and tear.
The items that have gone wrong do NOT need to be specifically mentioned in the sales blurb.
Don't fiddle with anything as otherwise the dealer can claim that you damaged it.
So first port of call is dealer, don't listen to the crap the dealer may give you about "we don't give you warranty on this car", it's irrelevant the LAW and sale of goods act cover you, if he doesn't play ball contact trading standards, then list the faults/lack of dealer help on a large cardboard cut out placed in the rear window, and park outside his garage, 100% LEGAL and nothing he can do about it.
I'm employed the above tactic outside a Argos store for a £6.99 toy that broke after 2 months, police came, and went much to the stores annoyance as one is entitled to peaceful protest!!
tabetha