B.
1. This can be negated by taking an example. Eg: In C4 P is violated, but max distance between any pair = 2.
2. This is true. Let u and v be 2 vertices such no edge (u,v). Let r be central vertex. Then u can reach v through r. Thus, max distance between any 2 vertices = d(u,r)+d(r,v) = 1+1=2.