That's curious. Most complaints seem to be the other way around, - the 64Bit gives problems. We are talking, here, about the browser only, and not the entire 32bit OS?
What happens if you use FireFox, for example?
Have you tried putting IE into compatibility mode?
Flash, as mentioned in the last post, would not prevent connectivity, but would not allow certain websites to pop up. But this would occur, by default, even with Flash installed, only in the 64 Bit, as Adobe are still sitting on their hands programming Flash 64Bit.
Only suggestion for a starter, is, if you have been customising IE, go to the Advanced tab in the tools - internet options, and select the Avanced tab. Then reset the defaults (at the bottom)