that is very good, the cars momentum will in fact restart the car.
with a M/T tranny, with A/T it slips. so is car a M/T , stick?
do post tranny type, we cant guess that....???
misfires and stalls. the engine stalls, the ECU tries very hard to
prevent stalls, but failed to do so...
you are loosing electric power, 12vdc , and this kills EFI
is the CEL lamp not coming on at 0rpm when the engine does stall>?
if not you lost 12v. hard fact.
this is not hard to find or fix ,if lost 12v.
when you lose 12v the dash goes dead, warning lamps fail.
and in such a stated, the key crank will be dead.
after all there is no 12v to do the cranking, from key.
its an old car and all cars fail there is no car that does not.
all machines do. even space shuttles. fail 1:50 times.
if you have a voltmeter, connect it to the CIG lighter port.
and see if the 13.3 to 15vdc running drops to zero or below 10v.
if yes, BINGO.
the CIG steals power from the ignition power feed.
when any key start fails to crank here are some tricks.
in view of your post , you have 2 non related problems
or the battery cables are corroded. ever clean them>
one other trick is have head lights on, at the stall
are the headlamps FULL bightness at the stall>?????? very easy test.