Where do you live? If you want to take photos of planes, then you'll have to find the best places at your local airport - check the ones on the site here to see if there are any recognisable locations, or check if there are any websites that list spotting locations.
As for photography itself, you can spend a lifetime at it and still be learning about both the equipment and the techniques.
If you want to upload photos here then you may find that the Finepix doesn't have the quality. If you want to take lots of photos and learn how to do it then it's a good starting point. The camera has a range of exposure controls so you can see what they all do.
You may want to get a photography book, or go to photography websites to find more background information about, for example shutter speeds, apertures, light levels, ISO.
And these days, taking the photo is half the story. Now you can do your own editing and that takes other skills in using the software to improve the photo (resize it, level it, alter contrast, colour balance, etc, etc).
Have you checked any other cameras? A couple of reviews and comments suggest that the image quality isn't great on the Finepix
Image quality from the S1500 was only average in my opinion when compared to similar models in this price range. Outdoors the camera can captures decent photos, but we did see quite a bit of edge softness as well as some over exposure;
The Canon SX110IS has better reviews and there are probably other cameras you could consider.
Don't get carried away by pixel counts and zoom ranges thinking bigger is better. With more pixels all you end up doing is seeing the imperfections in the lens.