Yes, it would a little and certainly bring them to life a little more. I don't know anything about your Fuji software.
Also,
Picasa is a pretty good free editor - very simple and will definitely improve your pictures.
Photoscape is also very good, and free.
The Big Brother of free editing software is very powerful
Gimp.... but I don't recommend it for a complete beginner..... even as a fairly experienced photo editor I find that a lot of its techniques and features are just not logical - but perhaps it's because it's so different to the now-universal Photoshop techniques.