As said I see nothing in the report that refers to wiring. Most seems rather minor. When one spots errors one does have to ask is this a proper EICR, the standard RCD should not trip at 15 mA, it should trip at 30 mA and must trip within 40 mS at 150 mA.
I looked for tripping times at 30 mS and it seems this depends on the BS number of the RCD I can't find anything in my copy of BS7671:2008 giving a time for disconnection at 30 mA only at 5 x 30 mA. However
This pocket guide by elecsa does give times, 200 mS, 300 mS, 130 ~ 500 mS so don't know where 400 mS comes from?
But the way it is listed says nothing really.
6 mm² cable rating depends on type and how installed the link shows 54 and 58 amp for 6 mm² cable. OK if routed through insulation and the cable has a lower working temperature it may be the cable can't take 40 amp, but it does not specify.
Kitchen socket cracked, well that's not a big job, same with faulty what ever the fault is not a big job to change.
Bathroom in zones 1 and 2: IPX4 nothing about IP44 it could be IP54 and still pass. If the light is over 2.25 meters high then out of zone 1 and 2, also 0.6 meters from bath or shower tray, I would think most bathrooms before 1990 did not have lights that comply, again easy to correct.
So the whole list is minor work, so nothing in list would make me consider a re-wire.