The analysis follows. The person who you are walking with is the most important person in your life. The size of the animal is representative of your perception of the size of your problems. The size of your dream home is representative of the size of your ambition to resolve your problems. No fence is indicative of an open personality.
People are welcome at all times.
The presence of a fence is more indicative of a closed personality. You'd prefer people to not drop by unannounced. If your answer did not include food, people, or flowers then you are generally unhappy. The durability of the material with which the cup is made is representative of the perceived durability of your relationship with the person from number 1. Your disposition of the cup is representative of your attitude toward the person in number 1.