I just recently gotten a 99 Corolla, and it seems to be in great shape. The only concern I have is recently I noticed while driving the BRAKE light would be on and off while driving. It's the one that comes on when the emergency brake is on. It's been cold lately and im wondering if maybe that has something to do with it?

Check your brake fluid. It may be low..

I have a 2001 model Corolla and the brake light comes on in the mornings. It will go off and come back on several times. I'm going to check my brake fluid like suggested but I was just wondering if this suggestion helped you.