Maybe if you live close to your parent's house, you can visit and feed and pet the dog. I am completely sympathetic for you, and it saddens me that your siblings don't see Rusty as a part of the family, especially since they are losing members. It is possible that they want to try to push away everything that reminds them about their parents... but I don't know them personally.
My suggestion is to never give in to your siblings, Rusty is as much of a family member as they are. :).
I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.