I don't know if animals have souls or not. I only know that what He created was good and that it is not in His Nature to destroy what He has created because it is good. He hasn't destroyed Lucifer, has He?
not yet
so, since I am in a mood to reveal my batshit crazy...
I believe that men were experimenting with genetic mutation pre-flood
I believe that Satan's minions were bold enough to walk the earth and that their seed polluted the human gene pool
I believe that Noah and his sons were all "pure blooded" & that they preserved unmutated/unpolluted critters on the Ark
I believe that sexual perversion had reached levels even beyond what we see today (although, I think we are close)
I believe that mankind had attained population and technological levels beyond what we see today
And I believe that we are living in days that are similar to the days of Noah & Lott today (sexual perversion, knowledge, etc - so even some reference to Daniel's discussion with the angel here)
And I do believe that God can, will & has destroyed things that he created
on your larger point, no, I do not believe that "death equals destruction"
so yes, the soul is eternal & things made in his image are not to be destroyed; unless you consider eternal damnation and separation from God as "destruction"
so, are you arguing semantics here?