I had a WiFi-problem with my 4S. Every time I used Skype the connection froze and I had too restart my 4S to get my WiFi back and my router gave me some indication that the trafic somehow didnt work with it or something. Same each time.
I tried to restart, reconfigure and much more.
The solution to my problems was the new version of Skype when it came out. Now I don't loose connection to my WiFi anymore.
I cant say what you should do because my problem went away and might not be the same as yours. But maybe you should try using the WiFi connection on your 4S but with no apps running (dubbletap the button and close all running apps) or even without having any apps in the phone except the ones already on the Iphone when you got the phone from the store.
Because if the bad version of Skype killed my WiFi on my 4S there might be other apps doing the same thing with yours.
Just a thought.
Hope your WiFi trouble goes away.