Now you've registered Rome successfully, I've moved you into Tech Support, which is where support occurs.
If I understand you right, you were able to play the game for a period (it's not clear to me if you mean 6 weeks real time or game time). You got help from someone (the Zendesk at Paradox?) who told you to "install the last version", which I guess means to apply the current patch, 2.32c? Is that right?
When you say you've "lost your saved games" do you mean you cannot see them in the Rome load menu? We can probably fix that, there's no reason why simply applying a patch (if that's what you did) would delete your saves; what may have happened is that the Windows Virtual Store function has hidden them from you - this can be the case if you use Vista or Windows 7 and have installed Rome in the system path, under c:\program files\ . Navigate in Windows Explorer to your Rome Savegames directory; if they are not there then click on the "Compatibility Files" button and you should see them. Wherever they are, at this point I suggest you copy them somewhere obvious, like your desktop, to make sure they are now safe.
Then I suggest a full clean reinstall outside the system path. Uninstall the game, and then manually delete the game directory - this is important. Reinstall Rome:Gold - choose a new directory like c:\games\rome instead of the suggested path. Download the 2.32c patch, and run it to install it; make 100% sure you point it to that same new directory above so that for instance the new rome.exe overwites the old one, the new romegame.exe overwrites the old one, and so on. Once done right-click on the game's desktop icon and set it to run as administrator, and to disable desktop composition. Run the game up, exit it, and run it up again and make sure the version is now 2.32c and the checksum is SWBL - you ought to see those on the main game menu, but if not you need to start to host an MP game and you'll see them there.
If all is well, copy your save games back into the c:\games\rome\svaegames\ folder and you will then be able to find them in the game.