Open Office has several scripts the Icons usually point at for startup. Their location will depend where you installed OO to.
For example, the writer starts up with the script swriter, and the base starts with sbase. Depending where in the file system you installed it to, you can try those commands from a command prompt, and if they are found, and OO is installed with java, it should spring to life. This is the way it is on 3.3.
I looked at 3.2 on my netbook, and it starts base with the command 'ooffice -writer %F'. You can try that command line as well, ( without the quotes ). ooffice starts base, then the option, writer, starts the workd processor, -calc starts the spread sheet.
Once you find the scripts, you can edit your menu to add what you want to the menu. I believe OO usually adds the menu items, one for each application, writer, calc, base, impress, and draw.
Editing the menu items varies from desktop to desktop. If its Gnome you are running, right click on Applications on the bar where you select menus. Then Edit Menu.
Hope this helps.