The fuel pump running and the warning lights on is normal at least on later cars for reasons explained. It is not an ongoing issue.
Starting the car without a key is an issue.
Thanks for heads up Robert. It's still an issue in my book though
Too funny (or is that "too Morgan") - how difficult can it be to have a wiring harness for hazards independent of the engine live circuit? Short answer: carry your own hazard beacon (lithium battery powered ones on Ebay should do the trick) :o