Hi,
I was facing the problem of Brake Light + Battery Light both goes red together after starting up the my car. It was problem of alternator. It was not charging up the battery. I ran the car for 3 days without charging up the battery. Finally battery discharged fully and problem diagnosed to be the alternator not charging up the battery. Got the new alternator for $185 (with TAX) with lifetime replacement warranty from Schucks, Liberty Lake. Changed the alternator and problem gone aways.
Thanks, Jayesh Modha