R is sitting to the immediate right of T and both are facing toward the same direction.

From I alone:
B is facing inward and is sitting second to the right of R.

Z is sitting second to the right of A. P is a neighbour of Z and A. A is not sitting next to T.

N is facing outward. But we cannot determine the position of N and S.
So, statement I alone is not sufficient.
From II alone:
P is sitting second to the left of T. B is sitting second to the right of R.

A is sitting third to the left of N. N is a neighbour of R.

Z is facing outward. But we cannot determine the position of N and S.
So, statement II alone is not sufficient.
From I and II together:
B is facing inward and is sitting second to the right of R. P is sitting second to the left of T. N is a neighbour of R. N is facing outward.

A is sitting third to the left of N.

P is a neighbour of Z and A. So, case 2 is invalid. Z is facing outward.

So, A, P and S will face inward.

So, P is sitting second to the left of S.
Hence, both the statements together are necessary.