Dropped my iPhone in snow and now it will only show the apple logo when plugged in

I dropped my iPhone4s in the snow the other day, consequently it got wet. I could see the condensation in the camea and flash and the screen turned black however the phone still worked as when my friend called me it vibrated but I couldn't answer it because of the screen. The flash also was constantly on so it seemed like everything was working inside the phone but just not the screen.

As soon as I got home I left the phone in rice for 2 days.

I got the phone out and plugged it in to charge. The apple logo showed up and the phone vibrated but en the apple logo disappeared and the screen turned black again. I unplugged the phone and plugged it in again and the same thing happened with the logo again but no vibration.

If I take the phone out of the plug it will just stay as a black screen.

Any suggestions as to what is ring with it or what I could do to fix this?