80stechkid besides replacing the screen, you want to deal with the soup immersion. If you do not take care of it now, you really don't have to worry about a new screen. Corrosion is most likely going to get your phone.
For now you want to stop continuing to try to charge, sync or otherwise use your phone. This potentially can make a bad situation worse. This may further damage your phone.
The next thing to do, is to clean it. Disassemble your phone using [these guides] . When you remove your main board, you must remove all EMI shields from it. If you do not remove those, you might as well not do anything. After you remove those, clean the whole board, connectors and all with +90% isopropyl alcohol. Follow this guide , and even so it was written for an apple iPhone 3G, all the points are still pertinent to your phone as well. While you clean your board, check for any obvious damage, like burned or missing components etc. When it is properly cleaned, replace the battery. All these steps are to avoid delayed failure caused by corrosion. Best thing to do would be to clean it with an ultrasonic cleaner, but if you do not have access to one, this will at least help. Once all this is done, reassemble your phone and reevaluate. Until it is cleaned, everything will only be a guess. It is possible that you only have a bad display and replacing the display assembly may fix it. However, you still need to take care of the Soup.