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I didn't know TouchWiz 4 has added so many functionality but I have a permanent scepticality towards TouchWiz so I rooted my wife's unit and installed MiUi onto it. Although I did that I don't seem to experience anything about the WiFi connectivity, perhaps you should send your unit to your nearest Samsung Support Centre. About battery life, I think it applies to all smartphones but I kinda managed to fix them by installing custom Kernel and downclock it using the app SetCPU. And you have to manage what you sync and be aware of apps that actively give you advertisement in your notifications.