What has this to do with dogs having souls? The point of these verses is that human beings will have glorified bodies in the resurrection. There is nothing in here about the resurrection of animals or animal spirits.
Additionally, if you turn to the Book of Romans, Chapter 8, verses 18 -24, there is further enlightenment, as far as God's view of His creatures, and how their existence has been affected by the sin of mankind, through no fault of their own:
For I reckon that the sufferings of this present time aren not worthy to be compared with thte glory which shall be revealed in us. For the earnest expectation of the creature waiteth for the manifestation of the sons of God. For the creature was made subject to vanity, not willingly, but by reasion of him who hath subjected the same in hope. Because the creature itself also shall be delivered from the bondage of corruption into the glorious liberty of the children of God. For we know that the whole creation groaneth and travaileth in pain together until now. And not only they, but ourselves also, which have the firstfruits of the Spirit, even we ourselves groan within ourselves, waiting for the adoption, to wit, the tredemption of our body. For we are saved by hope; but hope that is seen is not hope; for what a man seeth, why doth he yet hope for?