IIRC AM882 are DC input only, whereas the H version will accept DC or AC input.
Not sure about the DK bit.

The DM-S drives are Leadshines latest drives, aimed to replace the old DM, AM, and EM drives, however they don't appear to have the same functionality as AM/EM drives as the only configuration is via DIP switches.

And having just checked the leadshine website, I see they've just launched an EM-S drive, and all mention of DM-S has disappeared...
I wonder if the DM-S didn't quite pass CE approval like the AM drives, so they've launched a new tweaked design for the EU/US?