Does your abs light come on when you start the car, then go off after a few seconds. It should do this if the system is working properly.
When there is 1 fault the abs light stays on. If there is 2 faults the abs and handbrake light stay on.
I suspect that the previous owner thought that abs was hard to fix, so they removed the bulb, you are non the wiser and then now its got a 2nd fault and thrown the handbrake light on.