Feels like the brakes are locking up since i replaced the ignition switch

I have been having some intermittent starting issues with the car. No fire, no clicking. Just the dashlights come on as I turn the key. Eventually it starts. I did some research and thought it was a bad ignition switch. I put a new one in. Now, when I go forward, it sounds like the front brakes are locking up...but not in reverse. No indications on the dash. It sounds like a anti theft thing. Can you help me.