My 2009 JCW was at the end of a 60 mile trip. At a stop light it just died with a slight burning electrical smell. Wouldn't turn over. Had AAA tow me home. Put the battery on a charger for 24 hours (battery is a factory replacement less than 1 year old) and still nothing. All the lights come on, no OBD fault codes but there is a single click and then nothing. I know it's vague, but any ideas on where I should start? but fuel pumps and the vacuum pump/timing chain as well as the thermostat housing have been replaced.

I did notice the fan running quite a while after shutting down for the past week or so...

 

No kind words at all?