Our 1 1/2 year old toy poodle became very possessive of me also. Our vet told us to be sure the dog knew I was the alpha/leader not her. To do this she said the dog needed to be taught to sit before coming up on my lap, sit before going outside - basically earn things. If she was on my lap and growled when my son walked up and petted her, I would simple stand up and let her plop on the floor. She got the message within a week. Your dog is very young - just train her well right away! ... View related article.
First cut grass as short as possible. Than cover grass area with black plastic to smother grass. This will take several weeks (4-6). Once it is dead, I would recommend covering the area with a layer of wood chips 6 inches deep. You may get a little returning grass occasionally but you can just spot treat that. ... View related article.