In the second diagram provided, we see four messages: 'x', 'y', 'z', and 'p'. The vertical positioning of these messages indicates their order in time.

Option A states that "Sending message x is the first occurrence that happens." This could be true but is not necessarily always true, as there could be other messages or interactions before 'x' that are not shown in this part of the diagram.

Option B states that "Sending message z will happen after receiving message x." This is always true because the lifeline for 'v2[C]' shows the reception of 'x' before sending 'z'. In sequence diagrams, the vertical position indicates the sequence of events, and 'z' is clearly below 'x' on the 'v2[C]' lifeline.

Option C, "Sending message y will happen before sending message z," is not necessarily true because the messages 'y' and 'z' are sent by different lifelines, and there is no explicit ordering between them.

Option D, "Sending message p will happen before receiving message y," is not necessarily true as 'p' and 'y' involve different lifelines, and no ordering is specified between these interactions.

Therefore, the correct answer is:

B. Sending message z will happen after receiving message x.