Phone got wet touch screen problems

My OPO had a quick (1 second)drop in a toilet. It was in a protective case, inside of a leather holster. I wasn't wearing a belt and the holster slipped off of my pants. When I pulled it out and wiped it off with a paper towel, the screen was totally unresponsive. I was away from home and there was no rice to be found. I tried to shut it off but when I pushed the power button, I couldn't press shut down or restart on the display. (I later discovered that continually holding the power button shuts off the phone.) I put it in a bag of rice overnight and for the most part, it worked. Now, when I scroll the screen (like through my contacts) it's very touchy, opening the contact that my finger landed on to start the scroll over and over. I've tried adjusting the 'Touch & Hold Delay' but it makes no difference. Sometimes, it won't recognize when I try to make a selection near the bottom of the screen so I have to rotate my phone to landscape. But when I use the onscreen keyboard at the bottom (in portrait) everything works except when I press the 'a' key, it often pushes the shift key as well. Does this sound like a problem that replacing the screen would fix? It's irritating, but right now I can live with it.