hehe yeah dropped that black celica's engine onto itself, dam tractor crane. Gonaa give it a new set of rings as number 1 cylinder had low compression which explains the slight misfire when cold. But a good buy still!!
But back to the thread, it could well be the alternator somehow.
But with a fresh new battery, even with the alternator not working you would get more then 10 mins running off the new battery. Friends st162 did just that, and whent for a few days i believe on a new battery and dead alternator.
Do you have any sort of warning/charge light on the dash lit up?