To the best of my knowledge, most of the edits made for broadcast were to mute profanity.
Besides the Seti Eel scene, the shot of the eel falling out of Chekov's ear is slightly trimmed as well.
IIRC, there was one accidental pause early on, either from the random times the family VCR picked up a stray remote signal from the neighbors, or operator error. It doesn't affect any of the extended footage.
Should the network announcer over the end credits be preserved as well?