Q: Installed a new battery, my car gives no response.

I had a small incident a few months back, hit a bit of degree in the road. Cost me a few tires and a good scare. After replacing the tires and a few weeks after. My car wouldn't accllerate on drive when I shifted out of park. I figured my sensor went out. I couldn't afford the fix at the time so I was using the car shifting from 1 to 2 t 3 and then D. Once the car was in motion it drove fine. Only drove to work and home out of precaution. One night the battery died, was old. So went and bought a new one; but when I put the new battery in the car gave no response. No dash lights, no blinking or sound. The only it does when I try the batter is it sprays the windshield cleaner and eventually starts to smoke out of the alternator like power is going directly to it. What do I do? Whats wrong with electrical?

My car has 117000 miles.
My car has an automatic transmission.