This stove probably has just 2 grates and from what you describe, they are the originals for this stove. Insert the grate turning tool in the right side of the stove and with the loading door open, rotate the tool in a clockwise direction, you should see the flat side of the grates appear while viewing them through loading door. Now if you rotate back the other way, the side of the grates with holes should be seen. Are the grates in the stove now in good condition? Are they warped, cracked and do they rotate easily? Are the second set of grates the right size for this stove? Are the last 2 photos you posted the grates that are in the stove now?....they look new.
As far as which ones to use...I'd use the ones in the first photo because the other style (second ones you posted) tend to dump too many live coals into the ash pit if you rotate them too far. But really, either grates you use would be fine, just requires time/practice to get used to them.