Battery light usually means alternator not charging. Most common solutions would be be a bad alternator, bad connection, or loose alt belt.
usually a vacuum leak on the 12v v6 usually will come on intermittently on highway use
Yes it could.
It usually means that the alternator isn't charging properly.
There is no problem...the problem was the alternator. You have fixed the problem.
I had this same problem with my !995 Galant. It turned out to be the alternator.
Your alternator is not charging.
Is it charging, if not have you checked wiring to alternator.
You may have an ABS sensor going out at one of the wheels.
No. If the alternator is working fine, the battery power is not used.
A failing alternator with sticky or worn out brushes.
You probably have a bad ground. Check the grounds on the brake lights.