Yes to all of the above, though I cannot think of fuel injection pump failure causing the symptoms you describe. I'd also do a compression test if no other physical evidence of catastrophic engine failure is found.

__________________
[SIGPIC] Diesel loving autocrossing grandpa Architect. 08 Dodge 3/4 ton with Cummins & six speed; I have had about 35 benzes. I have a 39 Studebaker Coupe Express pickup in which I have had installed a 617 turbo and a five speed manual.[SIGPIC]

..I also have a 427 Cobra replica with an aluminum chassis.