I just replaced my front and rear brake pads. The brakes work great but now the dash brake light turns on and off for random intervals of time. Will this go away as the brakes adjust or is there some other problem?

Check the brake fluid in the engine well and see if it is overfilled or low. Also check any wires to the ABS at the wheels for a break in the wire or shorting of the wires. Another thought is the switch on the parking brake could be failing or out of adjustment.