Now, the jump wasnt by me.

Ign on- no comms, no fuel pump prime.

With terminals 30-87 bridged on engine management relay plate the pump primes, the injectors etc power up and I get coms

No fault codes but some of the live data doesnt seem to be right (EG the temperatures seem rasonable but I get no responce from TPS output)

But it still wont fire or inject.

Car was fine before battery ran down

Interestingly the radio no longer works. I suspect that it has been reverse poled during the earlier attemp at starting it though I cannot confirm this.

a) Is there any (easy) way of checking for this? (and would it explain symptoms)

b) Should I be checking something else. I am charging battery off vehicle at present and will likly see it again after the weekend.