A few points.
a) the Enterprise appeared to be towing the Constellation in the original episode, as there is a down shot of the Constellation looking down between the Enterprise's engines that shows they are holding a relative position, and moments later Spock reports that the Planet Killer is pursuing them and that they are able to maintain their distance, and it's then that Kirk tries to beam over and the Enterprise gets clobbered. If the ship were running away without the Constellation in tow, I doubt they'd have gone to the trouble to make that effects shot of the ships facing the same way.
b) The strafing run is fine with the dialog, but the swooping of the Enterprise is silly.
c) The energy effect in the maw doesn't look illuminated. Frankly, it looks cold: a common problem with CGI rendered energy and light effects. Most animators forget that to look bright the a light source has to look almost white (with a halo of more saturated color if it's not white light).