iPhone charges, vibrates, connects to itunes but won't turn on

Sorry for the horrible quality. I had to go into a dark room to take the photo (the screen was difficult to see otherwise) and had to edit the photo a bit. This photo shows a pretty accurate look of what my phone screen is looking like.

So about a week ago, my iPhone 5s got soaked in the rain but worked fine for about 10 minutes? I tried to 'suck the water out' of the charging hole and thought everything was okay so I kept using it. However, the screen turned black with vertical green lines <<EDIT: now it looks like the photo>>

When I got home, I quickly put it into rice (long grain so none could get inside). I just took it out of the rice and the phone vibrates, charges, connects to itunes (i can't access the files though because it's locked). When I hold the power/home button at the same time to turn it on, the screen lights up but it's still black.

What needs to be replaced/repaired and do you possibly know a price range for getting it repaired?