Phew! That's a lot of info. Okay, I'll give it a shot.
Stock length- This basically tells us one thing, & that is how long the total gun is. Shorter guns are more maneuverable, while longer guns have the potential for more range & power.
Right, but this is keeping in mind that just by the nature of the beast a rear handle gun is not going to be as maneuverable as a mid-handle. Now, there are mid-handles and then there are mid-handles and they're not the same thing. What I consider to be a true mid-handle uses as much of the stock as possible for the shaft track. These guns will have the grip and trigger located up the stock somewhere and some kind of push rod arrangement connected to the trigger that activates the release assembly in the rear of the stock. Some manufacturers locate the trigger and release assembly together up the stock and call it a mid-handle, but all that is, for all practical purposes, is a short rear handle with an extra long extension on the butt.
Shaft track- Does this limit the shaft length that you are able to shoot from a gun? Doesn't this also limit band stretch length?
Yes and yes. A longer shaft track will allow the use of a longer shaft without having too much overhang of shaft in front of the muzzle of the gun. It will also might allow for longer bands, but for sure more band stretch than a gun of the same overall length with a shorter shaft track.
Shaft length- OK, now things start to get crazy in my coconut that I use for a brain. Longer shafts should equal heavier shafts should equal lower speed but more kinetic energy which should equal better penetration within it's effective range. Shorter shafts should equal lighter shafts should eqaul higher speeds which should equal longer range & better accuracy. And let's not even get into shaft diameter at this point. Whew!!
Right, but only if the power of the bands is the same for both shaft lengths. I think there's more benefit to be gained from powering up a longer shaft than a shorter one. Be careful if you decide to power up a gun over what it came with stock. Too much band power applied will cause some trigger designs to become stiffer, or harder, to release, some will not release at all and some will simply come from together with an unexpected release of the shaft. I also think a longer shaft is inherently more accurate. This goes back to what FredT said about accuracy and shaft length, but I think some of that depends on how well tuned, or not, a particular gun is.
Bandstretch- Isn't this the biggie in determining the power of a gun? If you stretch a band out farther, it should have more stored energy, correct? While a 3 band gun with a shorter stretch might have more power than a 2 band gun with a longer stretch if you were to add a 3rd band to the gun with a longer stretch, I would think that you would end up with more power than the shorter gun. Then, of course, we could get into band lengths & thinckness, but the coconut is a-hurtin' already.
It can be if the bands being compared are the same diameter and material. The further a band is stretched, up to a point, the more energy it will have on release, but keep in mind that with a speargun it's not stretch and release. You'll be putting the band under tension and holding it in that state until you're ready to release the shaft. The further a band is stretched the faster it will lose elasticity resulting in a gun that loses power over time. Eventually, after you've used your gun a while, you'll want new bands. The next time you go in the water you'll notice, "WOW, what a difference." All band guns do this, it's just that with bands that are stretched further you'll be replacing them more often and after you buy a few you'll start thinking the guys that make something this simple must all be driving Ferrari's and Lambourgini's.

After that you'll probably do what I did and learn to tie your own. Especially after you've realized that the one gun you have that is perfect for this really doesn't do that very well, but this other gun will, and that other gun for this other thing, etc.
P.S.-If you take the bands off your gun between trips and store them in the refrigerator crisper they'll last longer.
