the only nitpick I see is that it's hard to tell where the pulses and beams are coming from, usually in trek they show some sort of "muzzle flash" on the emitter, also, although we don't often see it used in effects on the show, I would have added some ambient lighting effects to represent light cast by the various beams and pulses too.
Other then that, the render is awesome, weapons fire is difficult to master.
One thing I do, which might also come in handy for you, is I do a prelim a render with a cylinder to represent the beam, so that I have a general idea of what the perspective should look like.
for example, this is a render I posted here a while ago:
here is a preliminary render I made to get the angle of the beams right in the final image (there's also some minor textural differences because I updated the textures between renders)
