Flash support is notoriously missing from 64-bit browsers
. If you installed the standard Adobe Flash 10.2 ActiveX plugin, then it will only work for 32-bit IE (which you seem to be missing?).
However, Adobe has made available Adobe Flash Player "Square" which is a beta version of 10.2 that is meant for 64-bit browsers. Install the "Square" version of flash and see if that works for your 64-bit IE. Download page for "Square"