The abs light and the disc fault system lights are on at the same time

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When I first purchased the car last year used. I would notice only in the mornings . After the car sat all night. When I went to back up the back wheels or something were grinding . It was almost like the emergency brake was stuck. But I never use the emergency brake. The I put the car in drive it still would make the grinding noise. Still sounding like it was coming from the rear of the car. Than both the Abs and disc fault brake system lights would come on. But I would shut the car off ad than they would go off. But now I do not hear the grinding noise anymore . But boths lights will come on only when you are driving the car. I shut the car off. Yes, both lights go off. But will come on when I am driving. Would not go off until I shut the car off. But now they both will come on whiling I am driving , stay on for a few seconds go off. It does this now about three times lights on couple seconds go off. But after the second or third time both lights will stay on, until I shut the car off. Please do not tell me it could me he module . Now I a, not sure, but it would seem that if it was something serious the lights would stay on all the time , No? Please help me. I just got finished replacing my alternator that cst me over $950,00