I have IE 8.0 on My Laptop, I can access few sites normally however on few of the sites thereis no Drop down Menu. It comes Blank which I know is there if I access it throough some other PC through the same Network I have. Moreover I have downloaded Java Latest version today and tried to access the same site through Mozilla Firefox, but its no help to me. Please do some suggest me some relevant resolution to this problem of mine.

Did you try right clicking the top of the page and checking off "Menu bar"?