The correct options are
A It is paramagnetic
C The coordination number of cobalt is 6
In [CoCl6]4−, the central cobalt atom has the oxidation number of +2.
The outer electronic configuration is 3d7.
It is a high spin complex as the chloride ligand is weak field ligand.
it contains 3 unpaired electrons and is paramagnetic.
Since the cobalt is coordinated to 6 chlorine atoms, its coordination number is 6.
Thus, the options A and D are correct and the options B and C are incorrect.