@susanrhyne Rice does not work. It does absolutely nothing to help you with this repair. All it does is waste time and waste food. Check here https://www.ifixit.com/News/30047/rice-is-for-dinner-not-repair for more on this.
For now, you must 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 very first step I would take is to disassemble your phone. Use this teardown [guide|169777] to help you disassemble your phone. Remove the main board and the charging board. You will have to remove all the EMI shields from the boards. If you do not remove the shields, you are not cleaning the board. As an FYI, I do not clean the charging bad always replace it. They are relatively inexpensive and replacing them increases the chance to a successful repair
Take a close look at all components and connectors to assess the damage. Look for major corrosion, evaluate the pins in the connectors etc,. Take a look at all connectors as well as cable ends. Once you get any gross contamination cleaned, use 90%+ isopropyl alcohol and clean your parts some more. For a proper cleaning, use [guide|5825|this guide.] It was written for an Apple iPhone 3G but it is still pertinent to your Samsung phone as well. I can not stress the importance of a good cleaning enough, so do it over and over while replacing the alcohol after each cleaning. Do not use compressed air for the cleaning since that can drive liquid as well as corrosion particles into areas that will cause trouble later on. The importance here is the cleaning. It would of course be best to get it professionally cleaned with an ultrasonic cleaner. After that, replace the battery, reassemble your phone and re-evaluate. For as long as you have not cleaned your board and replaced the battery, everything is just a guess. Keep in mind that water damage is the hardest to troubleshoot and to repair. It does not matter if is was exposed for 2 seconds or 2 hours, what matters is where the water (particulates) did the damage. Yes, Rice does not work.