it did that on two of my family's other cars (one was a 2003 to boot), there is a relay switch that is either broke or stuck... i'll find out what/where it is later tonight if nobody else chimes in
my neighbors honda did this... there was a switch that was depressed at the top of the break pedal when you let off the brake..... part of this broke and it wouldnt depress all the way, so i JBwelded a penny to the brake assembly