Q:

Spin of black hole?

Black hole have 3 properties Mass, Charge, Angular Momentum. As there is Angular Momentum it's means black hole is spinning.

How would we know it is spinning in clockwise or anti-clockwise ? (in x,y,+z axis) 
Can we place satellite near to black hole above the horizon ?

A:

Black hole spin can be estimated by remote observations, but the inclination of the rotation axis, and therefore whether it is spinning "clockwise" or "anti-clockwise" is ambiguous. i.e. The same observational signature is seen for both, since we cannot spatially resolve the accretion disk around the black hole.
The measurements that give the black hole spin are X-ray spectra that reveal doppler shifts in iron lines emitted from the hot inner parts of the accretion discs around black holes. This has been done for stellar-sized black holes (see Lijun et al. 2011) and for supermassive black holes (see Patrick et al. 2012). These measurements suggest that many, but not all, black holes are spinning close to the maximum possible speed allowed by General Relativity.
Yes, in principle "satellites" can orbit black holes. It is orbiting gas that is responsible for the accretion disc emission mentioned above. There is a minimum radius for a stable circular orbit of 3 Schwarzschild radii for a non-spinning black hole.
Things are more complicated for a spinning black hole. Stable, "closed" (i.e. that repeat themselves) circular orbits are only possible in the "equatorial plane". The minimum stable radius is closer or further away than 3 Schwarzschild radii and depends whether the object orbits with or against the black hole spin respectively.
A maximally rotating black hole has a horizon at a radius of half the Schwarzschild radius and this is also the innermost stable circular orbit for a co-rotating satellite.  
As Warrick adds in a comment: there may be a way of telling whether the spin is aligned or anti-aligned with the accretion disc orbit (though how the latter case could occur, I don't know), but this cannot tell you the absolute orientation of the spin vector.

