Oh boy! Optical physics! Ugh... that's some terrible lens abberation...
I'd like to reinforce and expand on a few points.
That image is an excellent example of coma problems, as blacknet mentioned. I think there might also be spherical abberation as well as curvature of field, which was already mentioned. I can't tell if there is any distortion as I don't see any lines to look at for reference. Blackent gave a great description of coma. For some simple explanations see the following links on
coma, distortion and field curvature, and
spherical abberation.
I have a suspicion that this lens might be a semi-fisheye adaptor... when you have it on above water do you get a slight fisheye effect? That would explain barrell distortion as accepted in the lens design.
There is NO appreciable vignetting in this image. As Blacknet said, neither he nor I nor any of the other photographers we showed the image to saw vignetting. This lens may be prone to exhibiting appreciable vignetting, but it certainly isn't visible in this image. Vignetting, sometimes known as "uneven field illumination," is light falloff at the edges of a photo. Vignetting is not loss of sharpness, its light falloff at the edges. Lenses are always sharper when stopped down (up to a point usually f/11 or f/16 diffraction overcomes) than when wide open. Vignetting often occurs with wide angles lenses and is also solved by stopping down the lens.
Here are some examples:
Image
Image With vignetting
As to the strobe, the only ways I can possibly imagine as strobe causing vignetting is if under the following conditions: misaligned strobe (not pointing where it should, bigger possibility of this problem at closer range if you arent paying attention) which would cause uneven vignetting on a particular side or corner, or if you happen to hav a flash that illuminates say only 90 degrees and then use a lens with a diagonal angle of view of say 110 degree, causing insufficient illumination on the very edges. This can be less of a problem at closer range I think. These problems are easily avoided if you check what you are doing.
The solution to the softness? Lose the junk lens as suggested is the only total solution. But that may not be an option for you at the moment. In the meanwhile, take the advice already given and stop down the aperture as this will minimize the abberations. I'd recommend 3-5 stops from wide open when you are willing to make it go away as much as possible. The minor losses from diffraction wll probably be outdone by the minimization of hte distracting lens defects. You might also consider not taking pictures at close range as close focus propably makes the abberations manifest themselves more.