The people are right, 600hz isn't the refresh rate. The tv has a 60hz refresh rate and a 600hz subfield drive rate. This means you get up to 60 unique pictures per second, the subfield drive flashes each one 10 times. 60x10=600. Plasma tvs flicker and increasing the number of times the picture is flashed per second is to make this less noticeable. It causes confusion with lcd featuring "120hz" because the 2 numbers are not describing the same thing. I've seen plasma ads in flyers (for a primarily furniture store) that say "600hz subfield drive for a blur-free picture". This is not true. That's not the problem it's supposed to solve. Plasmas don't generally have noticeable blur. More accurate would be "600hz subfield drive for reduced flicker" (though I'm sure they'd spin it as "flicker-free" :) ).
Your 2nd question:
For 24p sources, note that 24 does not fit evenly into 60hz so most tvs now will drop to 48hz and show each frame twice. It can be called 2:2 (two identical frames followed by the next two identical frames). This way each frame is displayed the same number of times as every other frame. I've heard of some older Pioneers doing 72hz (24x3). This is to eliminate film judder.
The specs for your tv say "24p Playback (2 : 3) - Yes" - that sounds like 2:3 (or 3:2) pulldown detection where the tv will try to undo the pulldown on the fly and display it as 24p (x2=48).
Best to look in the manual for more details...ok I searched for "24p" and on page 46 it says:
"24p Direct in - 60Hz / 48Hz -
48Hz: Achieves more cinematic playback by reproducing the
movie contents at twice the speed of 24 frames per second."
It's one of the "advanced picture" settings (right under the pulldown detection feature). So try adjusting that setting. Remember to set your player to output 24p as well and you should be set.
I hope that helps, I thought you could use some more detail :)