Which one of the following could be a complete and accurate list of the messages left on the answering machine, from ...

In saying that H must be picked in conjunction with the contrapositive if H is not picked meaning P is not picked, can we deduce that P must always be picked as well? This is the only part I'm having trouble making sense of. Is it also true that if F is not picked P does not have to come before T and H does not have to come before L? Thank you so much. Can't wait to have this clarified.