I would have thought if the pulley had snapped off the oil pump then the engine would not have re-started as the belt wouldn't be able to drive anything. I would assume seeing as it started, albeit only briefly that you have possibly got a broken crankshaft . I seen a V12 MTU run very roughly mind you , but still ran , with a broken crankshaft which had some very good mechanics scratching their head until they dropped the sump .
Either way it doesn't sound good and you are likely putting a territory engine in it as a guess..
hope you didn't pay top $$ for it.
Bulletman


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