An attack of the speckles can be very embarrassing!
All it means is that the palettes don't quite match when using the Alpha.pal palette. Remember, the Alpha.pal only uses
approximate colours; the pink/magenta background has the true Civ3 colours. And as the Scout and the Horse come from different FLCs, with their own different palettes, what's approximately right for the Scout when using the Scout's Alpha.pal is no longer approximately right for the Horse (hope this makes sense

).
Basically, ignor it. Providing the figure looks ok with the pink/magenta background, and there are no strange bright green spots all over the place, then that's how it will look in the game.
Importing it: the Cavalry FLC is aready the right size, so let's use that.
1) FLICster the Cavalry FLC, but this time change the "Frame Count" (it's the 3rd one down) to 1, then "Export", and say yes to all the popup warning messages. If you use the directional 'clock-face' in FLICster you will see that you now have only one frame in each direction.
2) Pull FLICster aside for the moment (but keep it open) and look at the new frameset that it created. Only one frame in each direction, good. Change it's palette to the grey Apha.pal
3) Copy your figure, shadows an all, and slap it in the top two and bottom two frames, but NOT the middle four (I want to show you something

).
4) Now paste your figure into the 3rd frame down BUT this time press Ctrl+M. It's made a mirror image!. Do the same in the rest of the frames and save it the frameset.
If you now pull FLICster back into view and go round the clock-face you will see that it changes direction! (I know that you wanted Civ2 type 'static' images, but you've got to admit, this does look better. And it's soooo easy to do....just Ctrl+M to mirror the 4 middle frames!

).
Last of all, select "Export" and then "Export" again in FLICster to save it (it will still be called Cavalry of course, so after the first "Export" click the "base file name" ---it's the 6th on down--- to change the name before you press "Export" for the secound time).
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It's a nice figure by the way, and does look like a Paeonian Light Horseman.
Just one thing; the spear would look better if it was at a slight angle instead of vertical (I known it's easier....but come on, you've got this far, so you may as well do it properly.

).