Well, after trying both programs, I can say that ExtremeCopy is doing a good job. Unfortunately, the HDD is deteriorating so fast that now my transfer speeds are below 1MB. Usually around 200KB or lower.
At this point it's safe to say that no miracles can be done anymore. I managed to save some of my most important files and I'll just toss away all the games and redownload them.
Thanks for the help guys. Much appreciated.