What is CM6.1-K9-DEMO?
What specialization/partner status needed to buy that CM?
And why it with $- cost, is it can be bouth only with something else?
This is a License that comes with the "full" purchase of CCM 6.1. This license comes with 50 DLU's (phone Device License Units) to get you started until you actual licening is completed.
The Lab/Developer version of CCM 6.X can only be ordered via Credit Card here;
from this link just click on Cisco Marketplace (towards the bottom of the page :)
Hope this helps!