6 boys, J, K, L, M, N and P, are sitting around a rectangular table facing towards the centre (not necessarily in the same order). 4 boys are sitting in the corners, and 1 boy is sitting in the middle of each shorter side of the table. N is second to the right of K and second to the left of J. M is exactly opposite to N, and M is not sitting in the corner.

Which of the following statements is definitely correct?
I. L and P are both next to N.
II. K is diagonally opposite to L.