Sony cybershot dsc-s45 camera will not pow...

My girls got a hold of this camera and had a party with it. When I got it back it still powered up but the batteries were drained in a minute. Put new batteries in, and the same thing happened. I noticed that the battery door had a small hole in it and the clasp was broke off. So I thought I could just replace the door. I ordered a camera sold for parts of ebay and switched out the doors. Now the camera won't power on at all. Help, I can't afford a new camera.