OK, well the photos displayed are almost certainly write-offs.
First piece of advice, as already stated, is Read the F***ing Manual. There is also some interesting stuff about the Fuji S602 here:
It seems that the camera is 3.1mp, which should be enough, and has 6x zoom lens on this camera is the 35mm equivalent of 35-210mm. The zoom may be limiting in some cases at East Midlands - it depends where you shoot from.
In terms of reading the manual, it would seem sensible to firstly make sure that you're shooting Fine or Hi resolution, 3M
(the review suggests a lot of noise at 6M). This will mean large files, but you can resize them down to 1024, probably with the software in the box(?). It would also be sensible to be shooting at 160ISO, and certainly not at 800ISO where it appears the camera drops the resolution to 1MP (eek!) which will definitely not be good enough for airliners.net or jetphotos.
Probably the most limiting factor is the maximum length of the zoom, but with a bit of care in being in the right places it shouldn't be too much of a problem. I would NOT however recommend shooting stuff that appears really small in the viewfinder, and then making a very agressive crop later - the resolution delivered by the camera is probably not enough to support you doing that and achieving a reasonable result. If its too far away, probably do not shoot. My suspicion is that this camera will produce some reasonable results, and the key thing is learning how to use it properly.