Car wont start and wiper, head light and tail light wont turn off.

2007 Chrysler Sebring 4 cylinder. This is how it started. About 1pm I drove to Wallmart and everything was working perfectly. The next morning I got up to find the wipers in mid position as if they were on so I tried to jump the car. The wipers came on, head and tail lights came on, but both were in the off position. I tried to start the car and nothing, not even a clicking noise and on the dashboard, but I had a new blinking red light. So I figured a bad battery. The battery was no good. I replaced the batter, y but as soon as I connected it the wipers and lights go on and still the car won't start. The cables are fine and the plugs are fine. I'm thinking is that the factory anti theft went off and caused the stuff to turn on and drain my battery. I didn't even know it had one, but that's all I can come up with. What can I do myself?