From I alone:
D is sitting second to the right of F.

T is sitting second to the left of G. F is a neighbour of T.


P is sitting to the immediate right of A. So, cases 2(i) and 1(ii) are invalid. K is facing inward.

So, it cannot be determined if the given sentence is true. Hence, statement I alone is not sufficient.
From II alone:
P is sitting third to the right of K. P is sitting to the immediate left of G.

D is an immediate neighbour of K. F is sitting to the immediate right of T. A is not a neighbour of G.

So, the eighth person will be E. Therefore, the given sentence 'E is sitting to the immediate right of G' is true in either case.

Hence, statement II alone is sufficient.