A. $\text{Co}^{3+} (d^6)$, $\text{NH}_3$ is strong field. Low spin, inner orbital $d^2sp^3$. Correct.
B. $\text{Mn}^{3+} (d^4)$, $\text{Cl}^-$ is weak field. High spin, octahedral $sp^3d^2$. Correct.
C. $\text{Co}^{3+} (d^6)$, $\text{F}^-$ is weak field. High spin, octahedral $sp^3d^2$. Hybridization $d^2sp^3$ is incorrect here.
D. $\text{Fe}^{3+} (d^5)$, $\text{F}^-$ is weak field. High spin, octahedral $sp^3d^2$. Correct.
E. $\text{Ni}^{2+} (d^8)$, $\text{CN}^-$ is strong field. Low spin, square planar $dsp^2$. Hybridization $sp^3$ is incorrect.
Correct details are A, B, and D.