I like the graphic style and the effects, the weapon variety and all.
I agree with what Pleonasm had to say. I should add that, as much as I like the screen-shaking effect, it is a bit over-used. It shouldn't be used when you are hit as you can't react well because you can't see clearly.
Since graphics are so small I found myself constantly confusing corpses with mines. I know color is clearly different (and shape too) but that was my initial reaction.
Also there are some parts where you place platforms too close to the upper part of the screen, so when you jump you get to the next screen and the fall back again to the original screen, apparently with no purpose at all.
Also, gaps will take you to another screen or will kill you? You shouldn't have both, instead put lava, spikes, or anything else.
I hope this has gamepad support and an alternative jumping button and not just the up arrow.
Just my 2 cents, constructive criticism
this is shaping up to be a good one! Keep it up! Also, I don't know if you are aware that there's already a game called Redneck Rampage? Would be wise to find a different name...