If the fluid is close to the 30k mark I would change it as a precaution.
I drive a '92 EX but only auto civic I've driven was a DX.
I don't remember noticing any weird sounds coming from the trans or happening during shifts on any auto cars I've driven but on most I've noticed a little sluggishness when it's cold out, until warms up.
I redlined an '86 Accord in 1st during the winter more than once (first car, was stupid) when I was running late for school because the trans took forever to shift when the fluid was all cold and thick.
If I had to guess, and it would be a guess I would say maybe fluid or mount(s) or torque converter, trans slipping. For all I know it might be normal for that year when it's cold.