The ABS light is most likely on because of low voltage, same reason for the battery light to be on. Get your alternator tested.
MAYBE IT COULD BE A BAD SENSOR. IF IT IS RUNNING GOOD I WOULD JUST IGNORE IT.
Why would battery light come on then go off
It could
would a bad battery cable in a 95 toyota corolla make a engine come on?
altenator
You have a bad alternator.
The Battery? No, not typically the battery. That means that the alternator is not charging the battery and IF the engine is running, it's getting all of it's electrical energy from the battery. It means that once the battery charge is depleted, the engine won't run again until you recharge the battery.
alternator is probably not charging. you need to fix this NOW. new alternator is likely the only repair.
If it is easy, your gas cap is not on correctly.
either alternator or wrong size battery
The coolant level sensor is faulty.
If it is undercharging the battery yes, but if it is overcharging the battery no in most instances. If it fails completely the light will come on.